[{"data":1,"prerenderedAt":3454},["ShallowReactive",2],{"subject-categories-math":3,"formula-de\u002Fformulas\u002Fmath\u002Ffunctions\u002Fschnittpunkt-zweier-geraden":546,"formula-related-de\u002Fformulas\u002Fmath\u002Ffunctions\u002Fschnittpunkt-zweier-geraden":3444},[4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,177,178,179,180,181,182,183,184,185,186,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545],{"category":5},"algebra",{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":65},"arithmetic",{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":101},"calculus",{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":172},"differential-equations",{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":187},"discrete-math",{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":208},"functions",{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":247},"geometry",{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":312},"linear-algebra",{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":368},"multivariable-calculus",{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":391},"numerics",{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":412},"sequences-series",{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":441},"stochastics",{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":518},"trigonometry",{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"id":547,"title":548,"aliases":549,"body":554,"category":208,"checks":3359,"conditions":1105,"conditionsHtml":3374,"deprecated":3375,"description":3353,"extension":3376,"figure":3377,"figureCaption":3378,"figureHtml":3410,"formulaId":3411,"latex":3412,"latexHtml":3413,"level":3414,"meta":3415,"navigation":3386,"path":3416,"redirectFrom":3417,"related":3418,"seo":3422,"stem":3423,"subject":585,"summary":3424,"tags":3425,"variables":3430,"__hash__":3443},"formulas_de\u002Fde\u002Fformulas\u002Fmath\u002Ffunctions\u002Fschnittpunkt-zweier-geraden.md","Schnittpunkt zweier Geraden",[550,551,552,553],"Schnittpunkt berechnen","Geraden gleichsetzen","Schnittpunkt zweier linearer Funktionen","Wo schneiden sich zwei Geraden",{"type":555,"value":556,"toc":3352},"minimark",[557,562,571,894,1072,1557,1561,1824,2091,2438,2706,3233,3237],[558,559,561],"h2",{"id":560},"erklärung","Erklärung",[563,564,565,566,570],"p",{},"Im ",[567,568,569],"strong",{},"Schnittpunkt"," haben beide Geraden denselben y-Wert. Man setzt die Funktionsterme deshalb gleich:",[572,573,576],"span",{"className":574},[575],"katex-display",[572,577,580,645],{"className":578},[579],"katex",[572,581,584],{"className":582},[583],"katex-mathml",[585,586,589],"math",{"xmlns":587,"display":588},"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML","block",[590,591,592,640],"semantics",{},[593,594,595,606,609,613,620,623,630,632,634],"mrow",{},[596,597,598,602],"msub",{},[599,600,601],"mi",{},"m",[603,604,605],"mn",{},"1",[599,607,608],{},"x",[610,611,612],"mo",{},"+",[596,614,615,618],{},[599,616,617],{},"b",[603,619,605],{},[610,621,622],{},"=",[596,624,625,627],{},[599,626,601],{},[603,628,629],{},"2",[599,631,608],{},[610,633,612],{},[596,635,636,638],{},[599,637,617],{},[603,639,629],{},[641,642,644],"annotation",{"encoding":643},"application\u002Fx-tex","m_1 x + b_1 = m_2 x + b_2",[572,646,650,732,790,848],{"className":647,"ariaHidden":649},[648],"katex-html","true",[572,651,654,659,717,720,725,729],{"className":652},[653],"base",[572,655],{"className":656,"style":658},[657],"strut","height:0.7333em;vertical-align:-0.15em;",[572,660,663,667],{"className":661},[662],"mord",[572,664,601],{"className":665},[662,666],"mathnormal",[572,668,671],{"className":669},[670],"msupsub",[572,672,676,708],{"className":673},[674,675],"vlist-t","vlist-t2",[572,677,680,703],{"className":678},[679],"vlist-r",[572,681,685],{"className":682,"style":684},[683],"vlist","height:0.3011em;",[572,686,688,693],{"style":687},"top:-2.55em;margin-left:0em;margin-right:0.05em;",[572,689],{"className":690,"style":692},[691],"pstrut","height:2.7em;",[572,694,700],{"className":695},[696,697,698,699],"sizing","reset-size6","size3","mtight",[572,701,605],{"className":702},[662,699],[572,704,707],{"className":705},[706],"vlist-s","​",[572,709,711],{"className":710},[679],[572,712,715],{"className":713,"style":714},[683],"height:0.15em;",[572,716],{},[572,718,608],{"className":719},[662,666],[572,721],{"className":722,"style":724},[723],"mspace","margin-right:0.2222em;",[572,726,612],{"className":727},[728],"mbin",[572,730],{"className":731,"style":724},[723],[572,733,735,739,779,783,787],{"className":734},[653],[572,736],{"className":737,"style":738},[657],"height:0.8444em;vertical-align:-0.15em;",[572,740,742,745],{"className":741},[662],[572,743,617],{"className":744},[662,666],[572,746,748],{"className":747},[670],[572,749,751,771],{"className":750},[674,675],[572,752,754,768],{"className":753},[679],[572,755,757],{"className":756,"style":684},[683],[572,758,759,762],{"style":687},[572,760],{"className":761,"style":692},[691],[572,763,765],{"className":764},[696,697,698,699],[572,766,605],{"className":767},[662,699],[572,769,707],{"className":770},[706],[572,772,774],{"className":773},[679],[572,775,777],{"className":776,"style":714},[683],[572,778],{},[572,780],{"className":781,"style":782},[723],"margin-right:0.2778em;",[572,784,622],{"className":785},[786],"mrel",[572,788],{"className":789,"style":782},[723],[572,791,793,796,836,839,842,845],{"className":792},[653],[572,794],{"className":795,"style":658},[657],[572,797,799,802],{"className":798},[662],[572,800,601],{"className":801},[662,666],[572,803,805],{"className":804},[670],[572,806,808,828],{"className":807},[674,675],[572,809,811,825],{"className":810},[679],[572,812,814],{"className":813,"style":684},[683],[572,815,816,819],{"style":687},[572,817],{"className":818,"style":692},[691],[572,820,822],{"className":821},[696,697,698,699],[572,823,629],{"className":824},[662,699],[572,826,707],{"className":827},[706],[572,829,831],{"className":830},[679],[572,832,834],{"className":833,"style":714},[683],[572,835],{},[572,837,608],{"className":838},[662,666],[572,840],{"className":841,"style":724},[723],[572,843,612],{"className":844},[728],[572,846],{"className":847,"style":724},[723],[572,849,851,854],{"className":850},[653],[572,852],{"className":853,"style":738},[657],[572,855,857,860],{"className":856},[662],[572,858,617],{"className":859},[662,666],[572,861,863],{"className":862},[670],[572,864,866,886],{"className":865},[674,675],[572,867,869,883],{"className":868},[679],[572,870,872],{"className":871,"style":684},[683],[572,873,874,877],{"style":687},[572,875],{"className":876,"style":692},[691],[572,878,880],{"className":879},[696,697,698,699],[572,881,629],{"className":882},[662,699],[572,884,707],{"className":885},[706],[572,887,889],{"className":888},[679],[572,890,892],{"className":891,"style":714},[683],[572,893],{},[563,895,896,897,926,927,1001,1002,1071],{},"Nach ",[572,898,900,913],{"className":899},[579],[572,901,903],{"className":902},[583],[585,904,905],{"xmlns":587},[590,906,907,911],{},[593,908,909],{},[599,910,608],{},[641,912,608],{"encoding":643},[572,914,916],{"className":915,"ariaHidden":649},[648],[572,917,919,923],{"className":918},[653],[572,920],{"className":921,"style":922},[657],"height:0.4306em;",[572,924,608],{"className":925},[662,666]," aufgelöst ergibt das ",[572,928,930,949],{"className":929},[579],[572,931,933],{"className":932},[583],[585,934,935],{"xmlns":587},[590,936,937,946],{},[593,938,939],{},[596,940,941,943],{},[599,942,608],{},[599,944,945],{},"S",[641,947,948],{"encoding":643},"x_S",[572,950,952],{"className":951,"ariaHidden":649},[648],[572,953,955,959],{"className":954},[653],[572,956],{"className":957,"style":958},[657],"height:0.5806em;vertical-align:-0.15em;",[572,960,962,965],{"className":961},[662],[572,963,608],{"className":964},[662,666],[572,966,968],{"className":967},[670],[572,969,971,993],{"className":970},[674,675],[572,972,974,990],{"className":973},[679],[572,975,978],{"className":976,"style":977},[683],"height:0.3283em;",[572,979,980,983],{"style":687},[572,981],{"className":982,"style":692},[691],[572,984,986],{"className":985},[696,697,698,699],[572,987,945],{"className":988,"style":989},[662,666,699],"margin-right:0.0576em;",[572,991,707],{"className":992},[706],[572,994,996],{"className":995},[679],[572,997,999],{"className":998,"style":714},[683],[572,1000],{},". Den y-Wert erhält man, indem man ",[572,1003,1005,1022],{"className":1004},[579],[572,1006,1008],{"className":1007},[583],[585,1009,1010],{"xmlns":587},[590,1011,1012,1020],{},[593,1013,1014],{},[596,1015,1016,1018],{},[599,1017,608],{},[599,1019,945],{},[641,1021,948],{"encoding":643},[572,1023,1025],{"className":1024,"ariaHidden":649},[648],[572,1026,1028,1031],{"className":1027},[653],[572,1029],{"className":1030,"style":958},[657],[572,1032,1034,1037],{"className":1033},[662],[572,1035,608],{"className":1036},[662,666],[572,1038,1040],{"className":1039},[670],[572,1041,1043,1063],{"className":1042},[674,675],[572,1044,1046,1060],{"className":1045},[679],[572,1047,1049],{"className":1048,"style":977},[683],[572,1050,1051,1054],{"style":687},[572,1052],{"className":1053,"style":692},[691],[572,1055,1057],{"className":1056},[696,697,698,699],[572,1058,945],{"className":1059,"style":989},[662,666,699],[572,1061,707],{"className":1062},[706],[572,1064,1066],{"className":1065},[679],[572,1067,1069],{"className":1068,"style":714},[683],[572,1070],{}," in eine der beiden Gleichungen einsetzt.",[563,1073,1074,1075,1251,1252,1255,1256,1422,1423,1556],{},"Die Formel braucht ",[572,1076,1078,1106],{"className":1077},[579],[572,1079,1081],{"className":1080},[583],[585,1082,1083],{"xmlns":587},[590,1084,1085,1103],{},[593,1086,1087,1093,1097],{},[596,1088,1089,1091],{},[599,1090,601],{},[603,1092,605],{},[610,1094,1096],{"mathvariant":1095},"normal","≠",[596,1098,1099,1101],{},[599,1100,601],{},[603,1102,629],{},[641,1104,1105],{"encoding":643},"m_1 \\neq m_2",[572,1107,1109,1205],{"className":1108,"ariaHidden":649},[648],[572,1110,1112,1116,1156,1159,1202],{"className":1111},[653],[572,1113],{"className":1114,"style":1115},[657],"height:0.8889em;vertical-align:-0.1944em;",[572,1117,1119,1122],{"className":1118},[662],[572,1120,601],{"className":1121},[662,666],[572,1123,1125],{"className":1124},[670],[572,1126,1128,1148],{"className":1127},[674,675],[572,1129,1131,1145],{"className":1130},[679],[572,1132,1134],{"className":1133,"style":684},[683],[572,1135,1136,1139],{"style":687},[572,1137],{"className":1138,"style":692},[691],[572,1140,1142],{"className":1141},[696,697,698,699],[572,1143,605],{"className":1144},[662,699],[572,1146,707],{"className":1147},[706],[572,1149,1151],{"className":1150},[679],[572,1152,1154],{"className":1153,"style":714},[683],[572,1155],{},[572,1157],{"className":1158,"style":782},[723],[572,1160,1162,1195,1199],{"className":1161},[786],[572,1163,1165],{"className":1164},[786],[572,1166,1169],{"className":1167},[662,1168],"vbox",[572,1170,1173],{"className":1171},[1172],"thinbox",[572,1174,1177,1180,1191],{"className":1175},[1176],"rlap",[572,1178],{"className":1179,"style":1115},[657],[572,1181,1184],{"className":1182},[1183],"inner",[572,1185,1187],{"className":1186},[662],[572,1188,1190],{"className":1189},[786],"",[572,1192],{"className":1193},[1194],"fix",[572,1196],{"className":1197},[723,1198],"nobreak",[572,1200,622],{"className":1201},[786],[572,1203],{"className":1204,"style":782},[723],[572,1206,1208,1211],{"className":1207},[653],[572,1209],{"className":1210,"style":958},[657],[572,1212,1214,1217],{"className":1213},[662],[572,1215,601],{"className":1216},[662,666],[572,1218,1220],{"className":1219},[670],[572,1221,1223,1243],{"className":1222},[674,675],[572,1224,1226,1240],{"className":1225},[679],[572,1227,1229],{"className":1228,"style":684},[683],[572,1230,1231,1234],{"style":687},[572,1232],{"className":1233,"style":692},[691],[572,1235,1237],{"className":1236},[696,697,698,699],[572,1238,629],{"className":1239},[662,699],[572,1241,707],{"className":1242},[706],[572,1244,1246],{"className":1245},[679],[572,1247,1249],{"className":1248,"style":714},[683],[572,1250],{},". Bei gleicher Steigung sind die Geraden ",[567,1253,1254],{},"parallel",": Bei ",[572,1257,1259,1285],{"className":1258},[579],[572,1260,1262],{"className":1261},[583],[585,1263,1264],{"xmlns":587},[590,1265,1266,1282],{},[593,1267,1268,1274,1276],{},[596,1269,1270,1272],{},[599,1271,617],{},[603,1273,605],{},[610,1275,1096],{"mathvariant":1095},[596,1277,1278,1280],{},[599,1279,617],{},[603,1281,629],{},[641,1283,1284],{"encoding":643},"b_1 \\neq b_2",[572,1286,1288,1376],{"className":1287,"ariaHidden":649},[648],[572,1289,1291,1294,1334,1337,1373],{"className":1290},[653],[572,1292],{"className":1293,"style":1115},[657],[572,1295,1297,1300],{"className":1296},[662],[572,1298,617],{"className":1299},[662,666],[572,1301,1303],{"className":1302},[670],[572,1304,1306,1326],{"className":1305},[674,675],[572,1307,1309,1323],{"className":1308},[679],[572,1310,1312],{"className":1311,"style":684},[683],[572,1313,1314,1317],{"style":687},[572,1315],{"className":1316,"style":692},[691],[572,1318,1320],{"className":1319},[696,697,698,699],[572,1321,605],{"className":1322},[662,699],[572,1324,707],{"className":1325},[706],[572,1327,1329],{"className":1328},[679],[572,1330,1332],{"className":1331,"style":714},[683],[572,1333],{},[572,1335],{"className":1336,"style":782},[723],[572,1338,1340,1367,1370],{"className":1339},[786],[572,1341,1343],{"className":1342},[786],[572,1344,1346],{"className":1345},[662,1168],[572,1347,1349],{"className":1348},[1172],[572,1350,1352,1355,1364],{"className":1351},[1176],[572,1353],{"className":1354,"style":1115},[657],[572,1356,1358],{"className":1357},[1183],[572,1359,1361],{"className":1360},[662],[572,1362,1190],{"className":1363},[786],[572,1365],{"className":1366},[1194],[572,1368],{"className":1369},[723,1198],[572,1371,622],{"className":1372},[786],[572,1374],{"className":1375,"style":782},[723],[572,1377,1379,1382],{"className":1378},[653],[572,1380],{"className":1381,"style":738},[657],[572,1383,1385,1388],{"className":1384},[662],[572,1386,617],{"className":1387},[662,666],[572,1389,1391],{"className":1390},[670],[572,1392,1394,1414],{"className":1393},[674,675],[572,1395,1397,1411],{"className":1396},[679],[572,1398,1400],{"className":1399,"style":684},[683],[572,1401,1402,1405],{"style":687},[572,1403],{"className":1404,"style":692},[691],[572,1406,1408],{"className":1407},[696,697,698,699],[572,1409,629],{"className":1410},[662,699],[572,1412,707],{"className":1413},[706],[572,1415,1417],{"className":1416},[679],[572,1418,1420],{"className":1419,"style":714},[683],[572,1421],{}," gibt es keinen Schnittpunkt, bei ",[572,1424,1426,1452],{"className":1425},[579],[572,1427,1429],{"className":1428},[583],[585,1430,1431],{"xmlns":587},[590,1432,1433,1449],{},[593,1434,1435,1441,1443],{},[596,1436,1437,1439],{},[599,1438,617],{},[603,1440,605],{},[610,1442,622],{},[596,1444,1445,1447],{},[599,1446,617],{},[603,1448,629],{},[641,1450,1451],{"encoding":643},"b_1 = b_2",[572,1453,1455,1510],{"className":1454,"ariaHidden":649},[648],[572,1456,1458,1461,1501,1504,1507],{"className":1457},[653],[572,1459],{"className":1460,"style":738},[657],[572,1462,1464,1467],{"className":1463},[662],[572,1465,617],{"className":1466},[662,666],[572,1468,1470],{"className":1469},[670],[572,1471,1473,1493],{"className":1472},[674,675],[572,1474,1476,1490],{"className":1475},[679],[572,1477,1479],{"className":1478,"style":684},[683],[572,1480,1481,1484],{"style":687},[572,1482],{"className":1483,"style":692},[691],[572,1485,1487],{"className":1486},[696,697,698,699],[572,1488,605],{"className":1489},[662,699],[572,1491,707],{"className":1492},[706],[572,1494,1496],{"className":1495},[679],[572,1497,1499],{"className":1498,"style":714},[683],[572,1500],{},[572,1502],{"className":1503,"style":782},[723],[572,1505,622],{"className":1506},[786],[572,1508],{"className":1509,"style":782},[723],[572,1511,1513,1516],{"className":1512},[653],[572,1514],{"className":1515,"style":738},[657],[572,1517,1519,1522],{"className":1518},[662],[572,1520,617],{"className":1521},[662,666],[572,1523,1525],{"className":1524},[670],[572,1526,1528,1548],{"className":1527},[674,675],[572,1529,1531,1545],{"className":1530},[679],[572,1532,1534],{"className":1533,"style":684},[683],[572,1535,1536,1539],{"style":687},[572,1537],{"className":1538,"style":692},[691],[572,1540,1542],{"className":1541},[696,697,698,699],[572,1543,629],{"className":1544},[662,699],[572,1546,707],{"className":1547},[706],[572,1549,1551],{"className":1550},[679],[572,1552,1554],{"className":1553,"style":714},[683],[572,1555],{}," sind sie identisch und haben unendlich viele gemeinsame Punkte.",[558,1558,1560],{"id":1559},"beispiele","Beispiele",[563,1562,1563,1700,1701,1593],{},[572,1564,1566,1613],{"className":1565},[579],[572,1567,1569],{"className":1568},[583],[585,1570,1571],{"xmlns":587},[590,1572,1573,1610],{},[593,1574,1575,1578,1580,1583,1587,1591,1594,1597,1600,1602,1604,1606,1608],{},[599,1576,1577],{},"g",[723,1579],{},[723,1581],{"width":1582},"0.1111em",[610,1584],{"lspace":1585,"rspace":1586},"0em","0.17em",[1588,1589,1590],"mtext",{}," ⁣",[610,1592,1593],{"lspace":1585,"rspace":1585},":",[723,1595],{"width":1596},"0.3333em",[599,1598,1599],{},"y",[610,1601,622],{},[603,1603,629],{},[599,1605,608],{},[610,1607,612],{},[603,1609,605],{},[641,1611,1612],{"encoding":643},"g\\colon y = 2x + 1",[572,1614,1616,1668,1690],{"className":1615,"ariaHidden":649},[648],[572,1617,1619,1623,1627,1630,1634,1638,1642,1646,1652,1656,1659,1662,1665],{"className":1618},[653],[572,1620],{"className":1621,"style":1622},[657],"height:0.625em;vertical-align:-0.1944em;",[572,1624,1577],{"className":1625,"style":1626},[662,666],"margin-right:0.0359em;",[572,1628],{"className":1629},[723,1198],[572,1631],{"className":1632,"style":1633},[723],"margin-right:0.1111em;",[572,1635],{"className":1636},[1637],"mpunct",[572,1639],{"className":1640,"style":1641},[723],"margin-right:-0.1667em;",[572,1643],{"className":1644,"style":1645},[723],"margin-right:0.1667em;",[572,1647,1649],{"className":1648},[662],[572,1650,1593],{"className":1651},[786],[572,1653],{"className":1654,"style":1655},[723],"margin-right:0.3333em;",[572,1657,1599],{"className":1658,"style":1626},[662,666],[572,1660],{"className":1661,"style":782},[723],[572,1663,622],{"className":1664},[786],[572,1666],{"className":1667,"style":782},[723],[572,1669,1671,1675,1678,1681,1684,1687],{"className":1670},[653],[572,1672],{"className":1673,"style":1674},[657],"height:0.7278em;vertical-align:-0.0833em;",[572,1676,629],{"className":1677},[662],[572,1679,608],{"className":1680},[662,666],[572,1682],{"className":1683,"style":724},[723],[572,1685,612],{"className":1686},[728],[572,1688],{"className":1689,"style":724},[723],[572,1691,1693,1697],{"className":1692},[653],[572,1694],{"className":1695,"style":1696},[657],"height:0.6444em;",[572,1698,605],{"className":1699},[662]," und ",[572,1702,1704,1745],{"className":1703},[579],[572,1705,1707],{"className":1706},[583],[585,1708,1709],{"xmlns":587},[590,1710,1711,1742],{},[593,1712,1713,1716,1718,1720,1722,1724,1726,1728,1730,1732,1735,1737,1739],{},[599,1714,1715],{},"h",[723,1717],{},[723,1719],{"width":1582},[610,1721],{"lspace":1585,"rspace":1586},[1588,1723,1590],{},[610,1725,1593],{"lspace":1585,"rspace":1585},[723,1727],{"width":1596},[599,1729,1599],{},[610,1731,622],{},[610,1733,1734],{},"−",[599,1736,608],{},[610,1738,612],{},[603,1740,1741],{},"7",[641,1743,1744],{"encoding":643},"h\\colon y = -x + 7",[572,1746,1748,1793,1815],{"className":1747,"ariaHidden":649},[648],[572,1749,1751,1754,1757,1760,1763,1766,1769,1772,1778,1781,1784,1787,1790],{"className":1750},[653],[572,1752],{"className":1753,"style":1115},[657],[572,1755,1715],{"className":1756},[662,666],[572,1758],{"className":1759},[723,1198],[572,1761],{"className":1762,"style":1633},[723],[572,1764],{"className":1765},[1637],[572,1767],{"className":1768,"style":1641},[723],[572,1770],{"className":1771,"style":1645},[723],[572,1773,1775],{"className":1774},[662],[572,1776,1593],{"className":1777},[786],[572,1779],{"className":1780,"style":1655},[723],[572,1782,1599],{"className":1783,"style":1626},[662,666],[572,1785],{"className":1786,"style":782},[723],[572,1788,622],{"className":1789},[786],[572,1791],{"className":1792,"style":782},[723],[572,1794,1796,1800,1803,1806,1809,1812],{"className":1795},[653],[572,1797],{"className":1798,"style":1799},[657],"height:0.6667em;vertical-align:-0.0833em;",[572,1801,1734],{"className":1802},[662],[572,1804,608],{"className":1805},[662,666],[572,1807],{"className":1808,"style":724},[723],[572,1810,612],{"className":1811},[728],[572,1813],{"className":1814,"style":724},[723],[572,1816,1818,1821],{"className":1817},[653],[572,1819],{"className":1820,"style":1696},[657],[572,1822,1741],{"className":1823},[662],[572,1825,1827],{"className":1826},[575],[572,1828,1830,1894],{"className":1829},[579],[572,1831,1833],{"className":1832},[583],[585,1834,1835],{"xmlns":587,"display":588},[590,1836,1837,1891],{},[593,1838,1839,1841,1843,1845,1847,1849,1851,1853,1855,1857,1860,1863,1865,1868,1870,1872,1875,1877,1879,1881,1887,1889],{},[603,1840,629],{},[599,1842,608],{},[610,1844,612],{},[603,1846,605],{},[610,1848,622],{},[610,1850,1734],{},[599,1852,608],{},[610,1854,612],{},[603,1856,1741],{},[723,1858],{"width":1859},"1em",[610,1861,1862],{},"⇒",[723,1864],{"width":1859},[603,1866,1867],{},"3",[599,1869,608],{},[610,1871,622],{},[603,1873,1874],{},"6",[723,1876],{"width":1859},[610,1878,1862],{},[723,1880],{"width":1859},[596,1882,1883,1885],{},[599,1884,608],{},[599,1886,945],{},[610,1888,622],{},[603,1890,629],{},[641,1892,1893],{"encoding":643},"2x + 1 = -x + 7 \\quad\\Rightarrow\\quad 3x = 6 \\quad\\Rightarrow\\quad x_S = 2",[572,1895,1897,1918,1936,1957,1982,2003,2027,2082],{"className":1896,"ariaHidden":649},[648],[572,1898,1900,1903,1906,1909,1912,1915],{"className":1899},[653],[572,1901],{"className":1902,"style":1674},[657],[572,1904,629],{"className":1905},[662],[572,1907,608],{"className":1908},[662,666],[572,1910],{"className":1911,"style":724},[723],[572,1913,612],{"className":1914},[728],[572,1916],{"className":1917,"style":724},[723],[572,1919,1921,1924,1927,1930,1933],{"className":1920},[653],[572,1922],{"className":1923,"style":1696},[657],[572,1925,605],{"className":1926},[662],[572,1928],{"className":1929,"style":782},[723],[572,1931,622],{"className":1932},[786],[572,1934],{"className":1935,"style":782},[723],[572,1937,1939,1942,1945,1948,1951,1954],{"className":1938},[653],[572,1940],{"className":1941,"style":1799},[657],[572,1943,1734],{"className":1944},[662],[572,1946,608],{"className":1947},[662,666],[572,1949],{"className":1950,"style":724},[723],[572,1952,612],{"className":1953},[728],[572,1955],{"className":1956,"style":724},[723],[572,1958,1960,1963,1966,1970,1973,1976,1979],{"className":1959},[653],[572,1961],{"className":1962,"style":1696},[657],[572,1964,1741],{"className":1965},[662],[572,1967],{"className":1968,"style":1969},[723],"margin-right:1em;",[572,1971],{"className":1972,"style":782},[723],[572,1974,1862],{"className":1975},[786],[572,1977],{"className":1978,"style":1969},[723],[572,1980],{"className":1981,"style":782},[723],[572,1983,1985,1988,1991,1994,1997,2000],{"className":1984},[653],[572,1986],{"className":1987,"style":1696},[657],[572,1989,1867],{"className":1990},[662],[572,1992,608],{"className":1993},[662,666],[572,1995],{"className":1996,"style":782},[723],[572,1998,622],{"className":1999},[786],[572,2001],{"className":2002,"style":782},[723],[572,2004,2006,2009,2012,2015,2018,2021,2024],{"className":2005},[653],[572,2007],{"className":2008,"style":1696},[657],[572,2010,1874],{"className":2011},[662],[572,2013],{"className":2014,"style":1969},[723],[572,2016],{"className":2017,"style":782},[723],[572,2019,1862],{"className":2020},[786],[572,2022],{"className":2023,"style":1969},[723],[572,2025],{"className":2026,"style":782},[723],[572,2028,2030,2033,2073,2076,2079],{"className":2029},[653],[572,2031],{"className":2032,"style":958},[657],[572,2034,2036,2039],{"className":2035},[662],[572,2037,608],{"className":2038},[662,666],[572,2040,2042],{"className":2041},[670],[572,2043,2045,2065],{"className":2044},[674,675],[572,2046,2048,2062],{"className":2047},[679],[572,2049,2051],{"className":2050,"style":977},[683],[572,2052,2053,2056],{"style":687},[572,2054],{"className":2055,"style":692},[691],[572,2057,2059],{"className":2058},[696,697,698,699],[572,2060,945],{"className":2061,"style":989},[662,666,699],[572,2063,707],{"className":2064},[706],[572,2066,2068],{"className":2067},[679],[572,2069,2071],{"className":2070,"style":714},[683],[572,2072],{},[572,2074],{"className":2075,"style":782},[723],[572,2077,622],{"className":2078},[786],[572,2080],{"className":2081,"style":782},[723],[572,2083,2085,2088],{"className":2084},[653],[572,2086],{"className":2087,"style":1696},[657],[572,2089,629],{"className":2090},[662],[563,2092,2093,2254,2255,2284,2285,2363,2364,2437],{},[572,2094,2096,2132],{"className":2095},[579],[572,2097,2099],{"className":2098},[583],[585,2100,2101],{"xmlns":587},[590,2102,2103,2129],{},[593,2104,2105,2111,2113,2115,2118,2120,2122,2124,2126],{},[596,2106,2107,2109],{},[599,2108,1599],{},[599,2110,945],{},[610,2112,622],{},[603,2114,629],{},[610,2116,2117],{},"⋅",[603,2119,629],{},[610,2121,612],{},[603,2123,605],{},[610,2125,622],{},[603,2127,2128],{},"5",[641,2130,2131],{"encoding":643},"y_S = 2 \\cdot 2 + 1 = 5",[572,2133,2135,2191,2209,2227,2245],{"className":2134,"ariaHidden":649},[648],[572,2136,2138,2141,2182,2185,2188],{"className":2137},[653],[572,2139],{"className":2140,"style":1622},[657],[572,2142,2144,2147],{"className":2143},[662],[572,2145,1599],{"className":2146,"style":1626},[662,666],[572,2148,2150],{"className":2149},[670],[572,2151,2153,2174],{"className":2152},[674,675],[572,2154,2156,2171],{"className":2155},[679],[572,2157,2159],{"className":2158,"style":977},[683],[572,2160,2162,2165],{"style":2161},"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;",[572,2163],{"className":2164,"style":692},[691],[572,2166,2168],{"className":2167},[696,697,698,699],[572,2169,945],{"className":2170,"style":989},[662,666,699],[572,2172,707],{"className":2173},[706],[572,2175,2177],{"className":2176},[679],[572,2178,2180],{"className":2179,"style":714},[683],[572,2181],{},[572,2183],{"className":2184,"style":782},[723],[572,2186,622],{"className":2187},[786],[572,2189],{"className":2190,"style":782},[723],[572,2192,2194,2197,2200,2203,2206],{"className":2193},[653],[572,2195],{"className":2196,"style":1696},[657],[572,2198,629],{"className":2199},[662],[572,2201],{"className":2202,"style":724},[723],[572,2204,2117],{"className":2205},[728],[572,2207],{"className":2208,"style":724},[723],[572,2210,2212,2215,2218,2221,2224],{"className":2211},[653],[572,2213],{"className":2214,"style":1674},[657],[572,2216,629],{"className":2217},[662],[572,2219],{"className":2220,"style":724},[723],[572,2222,612],{"className":2223},[728],[572,2225],{"className":2226,"style":724},[723],[572,2228,2230,2233,2236,2239,2242],{"className":2229},[653],[572,2231],{"className":2232,"style":1696},[657],[572,2234,605],{"className":2235},[662],[572,2237],{"className":2238,"style":782},[723],[572,2240,622],{"className":2241},[786],[572,2243],{"className":2244,"style":782},[723],[572,2246,2248,2251],{"className":2247},[653],[572,2249],{"className":2250,"style":1696},[657],[572,2252,2128],{"className":2253},[662],". Probe mit ",[572,2256,2258,2271],{"className":2257},[579],[572,2259,2261],{"className":2260},[583],[585,2262,2263],{"xmlns":587},[590,2264,2265,2269],{},[593,2266,2267],{},[599,2268,1715],{},[641,2270,1715],{"encoding":643},[572,2272,2274],{"className":2273,"ariaHidden":649},[648],[572,2275,2277,2281],{"className":2276},[653],[572,2278],{"className":2279,"style":2280},[657],"height:0.6944em;",[572,2282,1715],{"className":2283},[662,666],": ",[572,2286,2288,2312],{"className":2287},[579],[572,2289,2291],{"className":2290},[583],[585,2292,2293],{"xmlns":587},[590,2294,2295,2309],{},[593,2296,2297,2299,2301,2303,2305,2307],{},[610,2298,1734],{},[603,2300,629],{},[610,2302,612],{},[603,2304,1741],{},[610,2306,622],{},[603,2308,2128],{},[641,2310,2311],{"encoding":643},"-2 + 7 = 5",[572,2313,2315,2336,2354],{"className":2314,"ariaHidden":649},[648],[572,2316,2318,2321,2324,2327,2330,2333],{"className":2317},[653],[572,2319],{"className":2320,"style":1674},[657],[572,2322,1734],{"className":2323},[662],[572,2325,629],{"className":2326},[662],[572,2328],{"className":2329,"style":724},[723],[572,2331,612],{"className":2332},[728],[572,2334],{"className":2335,"style":724},[723],[572,2337,2339,2342,2345,2348,2351],{"className":2338},[653],[572,2340],{"className":2341,"style":1696},[657],[572,2343,1741],{"className":2344},[662],[572,2346],{"className":2347,"style":782},[723],[572,2349,622],{"className":2350},[786],[572,2352],{"className":2353,"style":782},[723],[572,2355,2357,2360],{"className":2356},[653],[572,2358],{"className":2359,"style":1696},[657],[572,2361,2128],{"className":2362},[662],". Der Schnittpunkt ist ",[572,2365,2367,2395],{"className":2366},[579],[572,2368,2370],{"className":2369},[583],[585,2371,2372],{"xmlns":587},[590,2373,2374,2392],{},[593,2375,2376,2378,2382,2384,2387,2389],{},[599,2377,945],{},[610,2379,2381],{"stretchy":2380},"false","(",[603,2383,629],{},[610,2385,2386],{},"∣",[603,2388,2128],{},[610,2390,2391],{"stretchy":2380},")",[641,2393,2394],{"encoding":643},"S(2 \\mid 5)",[572,2396,2398,2424],{"className":2397,"ariaHidden":649},[648],[572,2399,2401,2405,2408,2412,2415,2418,2421],{"className":2400},[653],[572,2402],{"className":2403,"style":2404},[657],"height:1em;vertical-align:-0.25em;",[572,2406,945],{"className":2407,"style":989},[662,666],[572,2409,2381],{"className":2410},[2411],"mopen",[572,2413,629],{"className":2414},[662],[572,2416],{"className":2417,"style":782},[723],[572,2419,2386],{"className":2420},[786],[572,2422],{"className":2423,"style":782},[723],[572,2425,2427,2430,2433],{"className":2426},[653],[572,2428],{"className":2429,"style":2404},[657],[572,2431,2128],{"className":2432},[662],[572,2434,2391],{"className":2435},[2436],"mclose",".",[563,2439,2440,1700,2572,1593],{},[572,2441,2443,2482],{"className":2442},[579],[572,2444,2446],{"className":2445},[583],[585,2447,2448],{"xmlns":587},[590,2449,2450,2479],{},[593,2451,2452,2454,2456,2458,2460,2462,2464,2466,2468,2470,2473,2475,2477],{},[599,2453,1577],{},[723,2455],{},[723,2457],{"width":1582},[610,2459],{"lspace":1585,"rspace":1586},[1588,2461,1590],{},[610,2463,1593],{"lspace":1585,"rspace":1585},[723,2465],{"width":1596},[599,2467,1599],{},[610,2469,622],{},[603,2471,2472],{},"0,5",[599,2474,608],{},[610,2476,1734],{},[603,2478,1867],{},[641,2480,2481],{"encoding":643},"g\\colon y = 0{,}5x - 3",[572,2483,2485,2530,2563],{"className":2484,"ariaHidden":649},[648],[572,2486,2488,2491,2494,2497,2500,2503,2506,2509,2515,2518,2521,2524,2527],{"className":2487},[653],[572,2489],{"className":2490,"style":1622},[657],[572,2492,1577],{"className":2493,"style":1626},[662,666],[572,2495],{"className":2496},[723,1198],[572,2498],{"className":2499,"style":1633},[723],[572,2501],{"className":2502},[1637],[572,2504],{"className":2505,"style":1641},[723],[572,2507],{"className":2508,"style":1645},[723],[572,2510,2512],{"className":2511},[662],[572,2513,1593],{"className":2514},[786],[572,2516],{"className":2517,"style":1655},[723],[572,2519,1599],{"className":2520,"style":1626},[662,666],[572,2522],{"className":2523,"style":782},[723],[572,2525,622],{"className":2526},[786],[572,2528],{"className":2529,"style":782},[723],[572,2531,2533,2537,2541,2548,2551,2554,2557,2560],{"className":2532},[653],[572,2534],{"className":2535,"style":2536},[657],"height:0.8389em;vertical-align:-0.1944em;",[572,2538,2540],{"className":2539},[662],"0",[572,2542,2544],{"className":2543},[662],[572,2545,2547],{"className":2546},[1637],",",[572,2549,2128],{"className":2550},[662],[572,2552,608],{"className":2553},[662,666],[572,2555],{"className":2556,"style":724},[723],[572,2558,1734],{"className":2559},[728],[572,2561],{"className":2562,"style":724},[723],[572,2564,2566,2569],{"className":2565},[653],[572,2567],{"className":2568,"style":1696},[657],[572,2570,1867],{"className":2571},[662],[572,2573,2575,2616],{"className":2574},[579],[572,2576,2578],{"className":2577},[583],[585,2579,2580],{"xmlns":587},[590,2581,2582,2613],{},[593,2583,2584,2586,2588,2590,2592,2594,2596,2598,2600,2602,2604,2607,2609,2611],{},[599,2585,1715],{},[723,2587],{},[723,2589],{"width":1582},[610,2591],{"lspace":1585,"rspace":1586},[1588,2593,1590],{},[610,2595,1593],{"lspace":1585,"rspace":1585},[723,2597],{"width":1596},[599,2599,1599],{},[610,2601,622],{},[610,2603,1734],{},[603,2605,2606],{},"1,5",[599,2608,608],{},[610,2610,612],{},[603,2612,605],{},[641,2614,2615],{"encoding":643},"h\\colon y = -1{,}5x + 1",[572,2617,2619,2664,2697],{"className":2618,"ariaHidden":649},[648],[572,2620,2622,2625,2628,2631,2634,2637,2640,2643,2649,2652,2655,2658,2661],{"className":2621},[653],[572,2623],{"className":2624,"style":1115},[657],[572,2626,1715],{"className":2627},[662,666],[572,2629],{"className":2630},[723,1198],[572,2632],{"className":2633,"style":1633},[723],[572,2635],{"className":2636},[1637],[572,2638],{"className":2639,"style":1641},[723],[572,2641],{"className":2642,"style":1645},[723],[572,2644,2646],{"className":2645},[662],[572,2647,1593],{"className":2648},[786],[572,2650],{"className":2651,"style":1655},[723],[572,2653,1599],{"className":2654,"style":1626},[662,666],[572,2656],{"className":2657,"style":782},[723],[572,2659,622],{"className":2660},[786],[572,2662],{"className":2663,"style":782},[723],[572,2665,2667,2670,2673,2676,2682,2685,2688,2691,2694],{"className":2666},[653],[572,2668],{"className":2669,"style":2536},[657],[572,2671,1734],{"className":2672},[662],[572,2674,605],{"className":2675},[662],[572,2677,2679],{"className":2678},[662],[572,2680,2547],{"className":2681},[1637],[572,2683,2128],{"className":2684},[662],[572,2686,608],{"className":2687},[662,666],[572,2689],{"className":2690,"style":724},[723],[572,2692,612],{"className":2693},[728],[572,2695],{"className":2696,"style":724},[723],[572,2698,2700,2703],{"className":2699},[653],[572,2701],{"className":2702,"style":1696},[657],[572,2704,605],{"className":2705},[662],[572,2707,2709],{"className":2708},[575],[572,2710,2712,2805],{"className":2711},[579],[572,2713,2715],{"className":2714},[583],[585,2716,2717],{"xmlns":587,"display":588},[590,2718,2719,2802],{},[593,2720,2721,2727,2729,2760,2762,2769,2771,2773,2775,2778,2784,2786,2788,2790,2792,2794,2796,2798,2800],{},[596,2722,2723,2725],{},[599,2724,608],{},[599,2726,945],{},[610,2728,622],{},[2730,2731,2732,2746],"mfrac",{},[593,2733,2734,2736,2738,2740,2742,2744],{},[603,2735,605],{},[610,2737,1734],{},[610,2739,2381],{"stretchy":2380},[610,2741,1734],{},[603,2743,1867],{},[610,2745,2391],{"stretchy":2380},[593,2747,2748,2750,2752,2754,2756,2758],{},[603,2749,2472],{},[610,2751,1734],{},[610,2753,2381],{"stretchy":2380},[610,2755,1734],{},[603,2757,2606],{},[610,2759,2391],{"stretchy":2380},[610,2761,622],{},[2730,2763,2764,2767],{},[603,2765,2766],{},"4",[603,2768,629],{},[610,2770,622],{},[603,2772,629],{},[610,2774,2547],{"separator":649},[723,2776],{"width":2777},"2em",[596,2779,2780,2782],{},[599,2781,1599],{},[599,2783,945],{},[610,2785,622],{},[603,2787,2472],{},[610,2789,2117],{},[603,2791,629],{},[610,2793,1734],{},[603,2795,1867],{},[610,2797,622],{},[610,2799,1734],{},[603,2801,629],{},[641,2803,2804],{"encoding":643},"x_S = \\frac{1 - (-3)}{0{,}5 - (-1{,}5)} = \\frac{4}{2} = 2, \\qquad y_S = 0{,}5 \\cdot 2 - 3 = -2",[572,2806,2808,2863,3010,3090,3158,3185,3203,3221],{"className":2807,"ariaHidden":649},[648],[572,2809,2811,2814,2854,2857,2860],{"className":2810},[653],[572,2812],{"className":2813,"style":958},[657],[572,2815,2817,2820],{"className":2816},[662],[572,2818,608],{"className":2819},[662,666],[572,2821,2823],{"className":2822},[670],[572,2824,2826,2846],{"className":2825},[674,675],[572,2827,2829,2843],{"className":2828},[679],[572,2830,2832],{"className":2831,"style":977},[683],[572,2833,2834,2837],{"style":687},[572,2835],{"className":2836,"style":692},[691],[572,2838,2840],{"className":2839},[696,697,698,699],[572,2841,945],{"className":2842,"style":989},[662,666,699],[572,2844,707],{"className":2845},[706],[572,2847,2849],{"className":2848},[679],[572,2850,2852],{"className":2851,"style":714},[683],[572,2853],{},[572,2855],{"className":2856,"style":782},[723],[572,2858,622],{"className":2859},[786],[572,2861],{"className":2862,"style":782},[723],[572,2864,2866,2870,3001,3004,3007],{"className":2865},[653],[572,2867],{"className":2868,"style":2869},[657],"height:2.363em;vertical-align:-0.936em;",[572,2871,2873,2877,2998],{"className":2872},[662],[572,2874],{"className":2875},[2411,2876],"nulldelimiter",[572,2878,2880],{"className":2879},[2730],[572,2881,2883,2989],{"className":2882},[674,675],[572,2884,2886,2986],{"className":2885},[679],[572,2887,2890,2942,2953],{"className":2888,"style":2889},[683],"height:1.427em;",[572,2891,2893,2897],{"style":2892},"top:-2.314em;",[572,2894],{"className":2895,"style":2896},[691],"height:3em;",[572,2898,2900,2903,2909,2912,2915,2918,2921,2924,2927,2930,2936,2939],{"className":2899},[662],[572,2901,2540],{"className":2902},[662],[572,2904,2906],{"className":2905},[662],[572,2907,2547],{"className":2908},[1637],[572,2910,2128],{"className":2911},[662],[572,2913],{"className":2914,"style":724},[723],[572,2916,1734],{"className":2917},[728],[572,2919],{"className":2920,"style":724},[723],[572,2922,2381],{"className":2923},[2411],[572,2925,1734],{"className":2926},[662],[572,2928,605],{"className":2929},[662],[572,2931,2933],{"className":2932},[662],[572,2934,2547],{"className":2935},[1637],[572,2937,2128],{"className":2938},[662],[572,2940,2391],{"className":2941},[2436],[572,2943,2945,2948],{"style":2944},"top:-3.23em;",[572,2946],{"className":2947,"style":2896},[691],[572,2949],{"className":2950,"style":2952},[2951],"frac-line","border-bottom-width:0.04em;",[572,2954,2956,2959],{"style":2955},"top:-3.677em;",[572,2957],{"className":2958,"style":2896},[691],[572,2960,2962,2965,2968,2971,2974,2977,2980,2983],{"className":2961},[662],[572,2963,605],{"className":2964},[662],[572,2966],{"className":2967,"style":724},[723],[572,2969,1734],{"className":2970},[728],[572,2972],{"className":2973,"style":724},[723],[572,2975,2381],{"className":2976},[2411],[572,2978,1734],{"className":2979},[662],[572,2981,1867],{"className":2982},[662],[572,2984,2391],{"className":2985},[2436],[572,2987,707],{"className":2988},[706],[572,2990,2992],{"className":2991},[679],[572,2993,2996],{"className":2994,"style":2995},[683],"height:0.936em;",[572,2997],{},[572,2999],{"className":3000},[2436,2876],[572,3002],{"className":3003,"style":782},[723],[572,3005,622],{"className":3006},[786],[572,3008],{"className":3009,"style":782},[723],[572,3011,3013,3017,3081,3084,3087],{"className":3012},[653],[572,3014],{"className":3015,"style":3016},[657],"height:2.0074em;vertical-align:-0.686em;",[572,3018,3020,3023,3078],{"className":3019},[662],[572,3021],{"className":3022},[2411,2876],[572,3024,3026],{"className":3025},[2730],[572,3027,3029,3069],{"className":3028},[674,675],[572,3030,3032,3066],{"className":3031},[679],[572,3033,3036,3047,3055],{"className":3034,"style":3035},[683],"height:1.3214em;",[572,3037,3038,3041],{"style":2892},[572,3039],{"className":3040,"style":2896},[691],[572,3042,3044],{"className":3043},[662],[572,3045,629],{"className":3046},[662],[572,3048,3049,3052],{"style":2944},[572,3050],{"className":3051,"style":2896},[691],[572,3053],{"className":3054,"style":2952},[2951],[572,3056,3057,3060],{"style":2955},[572,3058],{"className":3059,"style":2896},[691],[572,3061,3063],{"className":3062},[662],[572,3064,2766],{"className":3065},[662],[572,3067,707],{"className":3068},[706],[572,3070,3072],{"className":3071},[679],[572,3073,3076],{"className":3074,"style":3075},[683],"height:0.686em;",[572,3077],{},[572,3079],{"className":3080},[2436,2876],[572,3082],{"className":3083,"style":782},[723],[572,3085,622],{"className":3086},[786],[572,3088],{"className":3089,"style":782},[723],[572,3091,3093,3096,3099,3102,3106,3109,3149,3152,3155],{"className":3092},[653],[572,3094],{"className":3095,"style":2536},[657],[572,3097,629],{"className":3098},[662],[572,3100,2547],{"className":3101},[1637],[572,3103],{"className":3104,"style":3105},[723],"margin-right:2em;",[572,3107],{"className":3108,"style":1645},[723],[572,3110,3112,3115],{"className":3111},[662],[572,3113,1599],{"className":3114,"style":1626},[662,666],[572,3116,3118],{"className":3117},[670],[572,3119,3121,3141],{"className":3120},[674,675],[572,3122,3124,3138],{"className":3123},[679],[572,3125,3127],{"className":3126,"style":977},[683],[572,3128,3129,3132],{"style":2161},[572,3130],{"className":3131,"style":692},[691],[572,3133,3135],{"className":3134},[696,697,698,699],[572,3136,945],{"className":3137,"style":989},[662,666,699],[572,3139,707],{"className":3140},[706],[572,3142,3144],{"className":3143},[679],[572,3145,3147],{"className":3146,"style":714},[683],[572,3148],{},[572,3150],{"className":3151,"style":782},[723],[572,3153,622],{"className":3154},[786],[572,3156],{"className":3157,"style":782},[723],[572,3159,3161,3164,3167,3173,3176,3179,3182],{"className":3160},[653],[572,3162],{"className":3163,"style":2536},[657],[572,3165,2540],{"className":3166},[662],[572,3168,3170],{"className":3169},[662],[572,3171,2547],{"className":3172},[1637],[572,3174,2128],{"className":3175},[662],[572,3177],{"className":3178,"style":724},[723],[572,3180,2117],{"className":3181},[728],[572,3183],{"className":3184,"style":724},[723],[572,3186,3188,3191,3194,3197,3200],{"className":3187},[653],[572,3189],{"className":3190,"style":1674},[657],[572,3192,629],{"className":3193},[662],[572,3195],{"className":3196,"style":724},[723],[572,3198,1734],{"className":3199},[728],[572,3201],{"className":3202,"style":724},[723],[572,3204,3206,3209,3212,3215,3218],{"className":3205},[653],[572,3207],{"className":3208,"style":1696},[657],[572,3210,1867],{"className":3211},[662],[572,3213],{"className":3214,"style":782},[723],[572,3216,622],{"className":3217},[786],[572,3219],{"className":3220,"style":782},[723],[572,3222,3224,3227,3230],{"className":3223},[653],[572,3225],{"className":3226,"style":1674},[657],[572,3228,1734],{"className":3229},[662],[572,3231,629],{"className":3232},[662],[558,3234,3236],{"id":3235},"typische-fehler","Typische Fehler",[3238,3239,3240,3314,3321],"ul",{},[3241,3242,3243,3244,3313],"li",{},"Nur ",[572,3245,3247,3264],{"className":3246},[579],[572,3248,3250],{"className":3249},[583],[585,3251,3252],{"xmlns":587},[590,3253,3254,3262],{},[593,3255,3256],{},[596,3257,3258,3260],{},[599,3259,608],{},[599,3261,945],{},[641,3263,948],{"encoding":643},[572,3265,3267],{"className":3266,"ariaHidden":649},[648],[572,3268,3270,3273],{"className":3269},[653],[572,3271],{"className":3272,"style":958},[657],[572,3274,3276,3279],{"className":3275},[662],[572,3277,608],{"className":3278},[662,666],[572,3280,3282],{"className":3281},[670],[572,3283,3285,3305],{"className":3284},[674,675],[572,3286,3288,3302],{"className":3287},[679],[572,3289,3291],{"className":3290,"style":977},[683],[572,3292,3293,3296],{"style":687},[572,3294],{"className":3295,"style":692},[691],[572,3297,3299],{"className":3298},[696,697,698,699],[572,3300,945],{"className":3301,"style":989},[662,666,699],[572,3303,707],{"className":3304},[706],[572,3306,3308],{"className":3307},[679],[572,3309,3311],{"className":3310,"style":714},[683],[572,3312],{}," ausrechnen und den y-Wert vergessen. Ein Schnittpunkt hat zwei Koordinaten.",[3241,3315,3316,3317,3320],{},"Beim Umstellen Vorzeichen verlieren. Eine Probe durch Einsetzen in ",[567,3318,3319],{},"beide"," Gleichungen deckt das auf.",[3241,3322,3323,3324,2437],{},"Bei gleicher Steigung trotzdem teilen: Im Nenner steht dann ",[572,3325,3327,3340],{"className":3326},[579],[572,3328,3330],{"className":3329},[583],[585,3331,3332],{"xmlns":587},[590,3333,3334,3338],{},[593,3335,3336],{},[603,3337,2540],{},[641,3339,2540],{"encoding":643},[572,3341,3343],{"className":3342,"ariaHidden":649},[648],[572,3344,3346,3349],{"className":3345},[653],[572,3347],{"className":3348,"style":1696},[657],[572,3350,2540],{"className":3351},[662],{"title":3353,"searchDepth":3354,"depth":3354,"links":3355},"",2,[3356,3357,3358],{"id":560,"depth":3354,"text":561},{"id":1559,"depth":3354,"text":1560},{"id":3235,"depth":3354,"text":3236},[3360,3363,3365,3367,3369,3371],{"lhs":3361,"rhs":3362},"m1*(b2 - b1)\u002F(m1 - m2) + b1","m2*(b2 - b1)\u002F(m1 - m2) + b2",{"lhs":3364,"rhs":629},"(7 - 1)\u002F(2 - (-1))",{"lhs":3366,"rhs":2128},"2*2 + 1",{"lhs":3368,"rhs":2128},"-2 + 7",{"lhs":3370,"rhs":629},"(1 - (-3))\u002F(0.5 - (-1.5))",{"lhs":3372,"rhs":3373},"0.5*2 - 3","-2","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>m\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo mathvariant=\"normal\">≠\u003C\u002Fmo>\u003Cmsub>\u003Cmi>m\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">m_1 \\neq m_2\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">m\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">\u003Cspan class=\"mrel\">\u003Cspan class=\"mord katex-vbox\">\u003Cspan class=\"katex-thinbox\">\u003Cspan class=\"rlap\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-inner\">\u003Cspan class=\"mord\">\u003Cspan class=\"mrel\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-fix\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace nobreak\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.5806em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">m\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md",{"caption":3378,"x":3379,"y":3382,"unit":3384,"unitY":3385,"axes":3386,"items":3387},"Die Geraden g mit y = 2x + 1 und h mit y = −x + 7 schneiden sich in S(2 | 5)",[3380,3381],-1,6,[3380,3383],8,38,30,true,[3388,3391,3393,3401,3406],{"type":3389,"expr":3390},"function","2*x + 1",{"type":3389,"expr":3392},"-x + 7",{"type":3394,"at":3395,"label":3397,"offset":3398},"point",[3354,3396],5,"S(2 | 5)",[3399,3400],10,-4,{"type":3402,"at":3403,"text":1577},"label",[3404,3405],3.2,7.6,{"type":3402,"at":3407,"text":1715},[3408,3409],5.5,2.3,"\u003Csvg xmlns=\"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg\" viewBox=\"0 0 266 270\" width=\"266\" height=\"270\" role=\"img\" aria-label=\"Die Geraden g mit y = 2x + 1 und h mit y = −x + 7 schneiden sich in S(2 | 5)\" class=\"formula-figure-svg\">\u003Cdefs>\u003Cmarker id=\"fig-line-intersection-arrow\" viewBox=\"0 0 10 10\" refX=\"9\" refY=\"5\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\u003Cpath d=\"M 0 0 L 10 5 L 0 10 z\" class=\"fig-arrowhead\"\u002F>\u003C\u002Fmarker>\u003CclipPath id=\"fig-line-intersection-clip\">\u003Crect x=\"0\" y=\"0\" width=\"266\" height=\"270\"\u002F>\u003C\u002FclipPath>\u003C\u002Fdefs>\u003Cline x1=\"0\" y1=\"240\" x2=\"266\" y2=\"240\" class=\"fig-axis\" marker-end=\"url(#fig-line-intersection-arrow)\"\u002F>\u003Cline x1=\"38\" y1=\"270\" x2=\"38\" y2=\"0\" class=\"fig-axis\" marker-end=\"url(#fig-line-intersection-arrow)\"\u002F>\u003Cline x1=\"0\" y1=\"237\" x2=\"0\" y2=\"243\" class=\"fig-axis\"\u002F>\u003Ctext x=\"3\" y=\"254\" text-anchor=\"start\" class=\"fig-tick\">−1\u003C\u002Ftext>\u003Cline x1=\"76\" y1=\"237\" x2=\"76\" y2=\"243\" class=\"fig-axis\"\u002F>\u003Ctext x=\"79\" y=\"254\" text-anchor=\"start\" class=\"fig-tick\">1\u003C\u002Ftext>\u003Cline x1=\"114\" y1=\"237\" x2=\"114\" y2=\"243\" class=\"fig-axis\"\u002F>\u003Ctext x=\"117\" y=\"254\" text-anchor=\"start\" class=\"fig-tick\">2\u003C\u002Ftext>\u003Cline x1=\"152\" y1=\"237\" x2=\"152\" y2=\"243\" class=\"fig-axis\"\u002F>\u003Ctext x=\"155\" y=\"254\" text-anchor=\"start\" class=\"fig-tick\">3\u003C\u002Ftext>\u003Cline x1=\"190\" y1=\"237\" x2=\"190\" y2=\"243\" class=\"fig-axis\"\u002F>\u003Ctext x=\"193\" y=\"254\" text-anchor=\"start\" class=\"fig-tick\">4\u003C\u002Ftext>\u003Cline x1=\"228\" y1=\"237\" x2=\"228\" y2=\"243\" class=\"fig-axis\"\u002F>\u003Ctext x=\"231\" y=\"254\" text-anchor=\"start\" class=\"fig-tick\">5\u003C\u002Ftext>\u003Cline x1=\"35\" y1=\"270\" x2=\"41\" y2=\"270\" class=\"fig-axis\"\u002F>\u003Ctext x=\"32\" y=\"263\" text-anchor=\"end\" dominant-baseline=\"middle\" class=\"fig-tick\">−1\u003C\u002Ftext>\u003Cline x1=\"35\" y1=\"210\" x2=\"41\" y2=\"210\" class=\"fig-axis\"\u002F>\u003Ctext x=\"32\" y=\"203\" text-anchor=\"end\" dominant-baseline=\"middle\" class=\"fig-tick\">1\u003C\u002Ftext>\u003Cline x1=\"35\" y1=\"180\" x2=\"41\" y2=\"180\" class=\"fig-axis\"\u002F>\u003Ctext x=\"32\" y=\"173\" text-anchor=\"end\" dominant-baseline=\"middle\" class=\"fig-tick\">2\u003C\u002Ftext>\u003Cline x1=\"35\" y1=\"150\" x2=\"41\" y2=\"150\" class=\"fig-axis\"\u002F>\u003Ctext x=\"32\" y=\"143\" text-anchor=\"end\" dominant-baseline=\"middle\" class=\"fig-tick\">3\u003C\u002Ftext>\u003Cline x1=\"35\" y1=\"120\" x2=\"41\" y2=\"120\" class=\"fig-axis\"\u002F>\u003Ctext x=\"32\" y=\"113\" text-anchor=\"end\" dominant-baseline=\"middle\" class=\"fig-tick\">4\u003C\u002Ftext>\u003Cline x1=\"35\" y1=\"90\" x2=\"41\" y2=\"90\" class=\"fig-axis\"\u002F>\u003Ctext x=\"32\" y=\"83\" text-anchor=\"end\" dominant-baseline=\"middle\" class=\"fig-tick\">5\u003C\u002Ftext>\u003Cline x1=\"35\" y1=\"60\" x2=\"41\" y2=\"60\" class=\"fig-axis\"\u002F>\u003Ctext x=\"32\" y=\"53\" text-anchor=\"end\" dominant-baseline=\"middle\" class=\"fig-tick\">6\u003C\u002Ftext>\u003Cline x1=\"35\" y1=\"30\" x2=\"41\" y2=\"30\" class=\"fig-axis\"\u002F>\u003Ctext x=\"32\" y=\"23\" text-anchor=\"end\" dominant-baseline=\"middle\" class=\"fig-tick\">7\u003C\u002Ftext>\u003Ctext x=\"260\" y=\"228\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">x\u003C\u002Ftext>\u003Ctext x=\"50\" y=\"8\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">y\u003C\u002Ftext>\u003Cpath d=\"M 0 270 L 1.11 268.25 L 2.22 266.5 L 3.33 264.75 L 4.43 263 L 5.54 261.25 L 6.65 259.5 L 7.76 257.75 L 8.87 256 L 9.97 254.25 L 11.08 252.5 L 12.19 250.75 L 13.3 249 L 14.41 247.25 L 15.52 245.5 L 16.63 243.75 L 17.73 242 L 18.84 240.25 L 19.95 238.5 L 21.06 236.75 L 22.17 235 L 23.28 233.25 L 24.38 231.5 L 25.49 229.75 L 26.6 228 L 27.71 226.25 L 28.82 224.5 L 29.93 222.75 L 31.03 221 L 32.14 219.25 L 33.25 217.5 L 34.36 215.75 L 35.47 214 L 36.58 212.25 L 37.68 210.5 L 38.79 208.75 L 39.9 207 L 41.01 205.25 L 42.12 203.5 L 43.23 201.75 L 44.33 200 L 45.44 198.25 L 46.55 196.5 L 47.66 194.75 L 48.77 193 L 49.88 191.25 L 50.98 189.5 L 52.09 187.75 L 53.2 186 L 54.31 184.25 L 55.42 182.5 L 56.53 180.75 L 57.63 179 L 58.74 177.25 L 59.85 175.5 L 60.96 173.75 L 62.07 172 L 63.18 170.25 L 64.28 168.5 L 65.39 166.75 L 66.5 165 L 67.61 163.25 L 68.72 161.5 L 69.83 159.75 L 70.93 158 L 72.04 156.25 L 73.15 154.5 L 74.26 152.75 L 75.37 151 L 76.48 149.25 L 77.58 147.5 L 78.69 145.75 L 79.8 144 L 80.91 142.25 L 82.02 140.5 L 83.13 138.75 L 84.23 137 L 85.34 135.25 L 86.45 133.5 L 87.56 131.75 L 88.67 130 L 89.78 128.25 L 90.88 126.5 L 91.99 124.75 L 93.1 123 L 94.21 121.25 L 95.32 119.5 L 96.43 117.75 L 97.53 116 L 98.64 114.25 L 99.75 112.5 L 100.86 110.75 L 101.97 109 L 103.08 107.25 L 104.18 105.5 L 105.29 103.75 L 106.4 102 L 107.51 100.25 L 108.62 98.5 L 109.73 96.75 L 110.83 95 L 111.94 93.25 L 113.05 91.5 L 114.16 89.75 L 115.27 88 L 116.38 86.25 L 117.48 84.5 L 118.59 82.75 L 119.7 81 L 120.81 79.25 L 121.92 77.5 L 123.03 75.75 L 124.13 74 L 125.24 72.25 L 126.35 70.5 L 127.46 68.75 L 128.57 67 L 129.68 65.25 L 130.78 63.5 L 131.89 61.75 L 133 60 L 134.11 58.25 L 135.22 56.5 L 136.32 54.75 L 137.43 53 L 138.54 51.25 L 139.65 49.5 L 140.76 47.75 L 141.87 46 L 142.98 44.25 L 144.08 42.5 L 145.19 40.75 L 146.3 39 L 147.41 37.25 L 148.52 35.5 L 149.63 33.75 L 150.73 32 L 151.84 30.25 L 152.95 28.5 L 154.06 26.75 L 155.17 25 L 156.28 23.25 L 157.38 21.5 L 158.49 19.75 L 159.6 18 L 160.71 16.25 L 161.82 14.5 L 162.92 12.75 L 164.03 11 L 165.14 9.25 L 166.25 7.5 L 167.36 5.75 L 168.47 4 L 169.58 2.25 L 170.68 0.5 L 171.79 -1.25 L 172.9 -3 L 174.01 -4.75 L 175.12 -6.5 L 176.23 -8.25 L 177.33 -10 L 178.44 -11.75 L 179.55 -13.5 L 180.66 -15.25 L 181.77 -17 L 182.88 -18.75 L 183.98 -20.5 L 185.09 -22.25 L 186.2 -24 L 187.31 -25.75 L 188.42 -27.5 L 189.53 -29.25 L 190.63 -31 L 191.74 -32.75 L 192.85 -34.5 L 193.96 -36.25 L 195.07 -38 L 196.18 -39.75 L 197.28 -41.5 L 198.39 -43.25 L 199.5 -45 L 200.61 -46.75 L 201.72 -48.5 L 202.83 -50.25 L 203.93 -52 L 205.04 -53.75 L 206.15 -55.5 L 207.26 -57.25 L 208.37 -59 L 209.48 -60.75 L 210.58 -62.5 L 211.69 -64.25 L 212.8 -66 L 213.91 -67.75 L 215.02 -69.5 L 216.13 -71.25 L 217.23 -73 L 218.34 -74.75 L 219.45 -76.5 L 220.56 -78.25 L 221.67 -80 L 222.78 -81.75 L 223.88 -83.5 L 224.99 -85.25 L 226.1 -87 L 227.21 -88.75 L 228.32 -90.5 L 229.43 -92.25 L 230.53 -94 L 231.64 -95.75 L 232.75 -97.5 L 233.86 -99.25 L 234.97 -101 L 236.08 -102.75 L 237.18 -104.5 L 238.29 -106.25 L 239.4 -108 L 240.51 -109.75 L 241.62 -111.5 L 242.73 -113.25 L 243.83 -115 L 244.94 -116.75 L 246.05 -118.5 L 247.16 -120.25 L 248.27 -122 L 249.38 -123.75 L 250.48 -125.5 L 251.59 -127.25 L 252.7 -129 L 253.81 -130.75 L 254.92 -132.5 L 256.02 -134.25 L 257.13 -136 L 258.24 -137.75 L 259.35 -139.5 L 260.46 -141.25 L 261.57 -143 L 262.68 -144.75 L 263.78 -146.5 L 264.89 -148.25 L 266 -150\" class=\"fig-main fig-graph\" clip-path=\"url(#fig-line-intersection-clip)\"\u002F>\u003Cpath d=\"M 0 0 L 1.11 0.88 L 2.22 1.75 L 3.33 2.63 L 4.43 3.5 L 5.54 4.37 L 6.65 5.25 L 7.76 6.12 L 8.87 7 L 9.97 7.88 L 11.08 8.75 L 12.19 9.62 L 13.3 10.5 L 14.41 11.37 L 15.52 12.25 L 16.63 13.13 L 17.73 14 L 18.84 14.88 L 19.95 15.75 L 21.06 16.63 L 22.17 17.5 L 23.28 18.37 L 24.38 19.25 L 25.49 20.13 L 26.6 21 L 27.71 21.88 L 28.82 22.75 L 29.93 23.62 L 31.03 24.5 L 32.14 25.37 L 33.25 26.25 L 34.36 27.13 L 35.47 28 L 36.58 28.88 L 37.68 29.75 L 38.79 30.62 L 39.9 31.5 L 41.01 32.38 L 42.12 33.25 L 43.23 34.13 L 44.33 35 L 45.44 35.87 L 46.55 36.75 L 47.66 37.62 L 48.77 38.5 L 49.88 39.38 L 50.98 40.25 L 52.09 41.13 L 53.2 42 L 54.31 42.88 L 55.42 43.75 L 56.53 44.62 L 57.63 45.5 L 58.74 46.38 L 59.85 47.25 L 60.96 48.13 L 62.07 49 L 63.18 49.87 L 64.28 50.75 L 65.39 51.63 L 66.5 52.5 L 67.61 53.38 L 68.72 54.25 L 69.83 55.13 L 70.93 56 L 72.04 56.87 L 73.15 57.75 L 74.26 58.63 L 75.37 59.5 L 76.48 60.38 L 77.58 61.25 L 78.69 62.12 L 79.8 63 L 80.91 63.87 L 82.02 64.75 L 83.13 65.63 L 84.23 66.5 L 85.34 67.38 L 86.45 68.25 L 87.56 69.13 L 88.67 70 L 89.78 70.88 L 90.88 71.75 L 91.99 72.63 L 93.1 73.5 L 94.21 74.37 L 95.32 75.25 L 96.43 76.12 L 97.53 77 L 98.64 77.88 L 99.75 78.75 L 100.86 79.63 L 101.97 80.5 L 103.08 81.38 L 104.18 82.25 L 105.29 83.13 L 106.4 84 L 107.51 84.88 L 108.62 85.75 L 109.73 86.63 L 110.83 87.5 L 111.94 88.37 L 113.05 89.25 L 114.16 90.13 L 115.27 91 L 116.38 91.88 L 117.48 92.75 L 118.59 93.63 L 119.7 94.5 L 120.81 95.38 L 121.92 96.25 L 123.03 97.13 L 124.13 98 L 125.24 98.88 L 126.35 99.75 L 127.46 100.62 L 128.57 101.5 L 129.68 102.37 L 130.78 103.25 L 131.89 104.13 L 133 105 L 134.11 105.88 L 135.22 106.75 L 136.32 107.63 L 137.43 108.5 L 138.54 109.38 L 139.65 110.25 L 140.76 111.13 L 141.87 112 L 142.98 112.88 L 144.08 113.75 L 145.19 114.62 L 146.3 115.5 L 147.41 116.38 L 148.52 117.25 L 149.63 118.13 L 150.73 119 L 151.84 119.88 L 152.95 120.75 L 154.06 121.62 L 155.17 122.5 L 156.28 123.38 L 157.38 124.25 L 158.49 125.13 L 159.6 126 L 160.71 126.88 L 161.82 127.75 L 162.92 128.63 L 164.03 129.5 L 165.14 130.38 L 166.25 131.25 L 167.36 132.13 L 168.47 133 L 169.58 133.88 L 170.68 134.75 L 171.79 135.63 L 172.9 136.5 L 174.01 137.38 L 175.12 138.25 L 176.23 139.13 L 177.33 140 L 178.44 140.88 L 179.55 141.75 L 180.66 142.63 L 181.77 143.5 L 182.88 144.38 L 183.98 145.25 L 185.09 146.13 L 186.2 147 L 187.31 147.88 L 188.42 148.75 L 189.53 149.63 L 190.63 150.5 L 191.74 151.38 L 192.85 152.25 L 193.96 153.13 L 195.07 154 L 196.18 154.88 L 197.28 155.75 L 198.39 156.63 L 199.5 157.5 L 200.61 158.38 L 201.72 159.25 L 202.83 160.13 L 203.93 161 L 205.04 161.88 L 206.15 162.75 L 207.26 163.63 L 208.37 164.5 L 209.48 165.38 L 210.58 166.25 L 211.69 167.13 L 212.8 168 L 213.91 168.88 L 215.02 169.75 L 216.13 170.63 L 217.23 171.5 L 218.34 172.38 L 219.45 173.25 L 220.56 174.13 L 221.67 175 L 222.78 175.88 L 223.88 176.75 L 224.99 177.63 L 226.1 178.5 L 227.21 179.38 L 228.32 180.25 L 229.43 181.13 L 230.53 182 L 231.64 182.88 L 232.75 183.75 L 233.86 184.63 L 234.97 185.5 L 236.08 186.38 L 237.18 187.25 L 238.29 188.13 L 239.4 189 L 240.51 189.88 L 241.62 190.75 L 242.73 191.63 L 243.83 192.5 L 244.94 193.38 L 246.05 194.25 L 247.16 195.13 L 248.27 196 L 249.38 196.88 L 250.48 197.75 L 251.59 198.63 L 252.7 199.5 L 253.81 200.38 L 254.92 201.25 L 256.02 202.13 L 257.13 203 L 258.24 203.88 L 259.35 204.75 L 260.46 205.63 L 261.57 206.5 L 262.68 207.38 L 263.78 208.25 L 264.89 209.13 L 266 210\" class=\"fig-main fig-graph\" clip-path=\"url(#fig-line-intersection-clip)\"\u002F>\u003Ccircle cx=\"114\" cy=\"90\" r=\"3\" class=\"fig-dot\"\u002F>\u003Ctext x=\"124\" y=\"86\" text-anchor=\"start\" dominant-baseline=\"middle\" class=\"fig-label fig-upright\">S(2 | 5)\u003C\u002Ftext>\u003Ctext x=\"159.6\" y=\"12\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">g\u003C\u002Ftext>\u003Ctext x=\"247\" y=\"171\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">h\u003C\u002Ftext>\u003C\u002Fsvg>","line-intersection","x_S = \\frac{b_2 - b_1}{m_1 - m_2}, \\quad y_S = m_1 x_S + b_1","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>S\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo>=\u003C\u002Fmo>\u003Cmfrac>\u003Cmrow>\u003Cmsub>\u003Cmi>b\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo>−\u003C\u002Fmo>\u003Cmsub>\u003Cmi>b\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cmrow>\u003Cmsub>\u003Cmi>m\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo>−\u003C\u002Fmo>\u003Cmsub>\u003Cmi>m\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmspace width=\"1em\"\u002F>\u003Cmsub>\u003Cmi>y\u003C\u002Fmi>\u003Cmi>S\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo>=\u003C\u002Fmo>\u003Cmsub>\u003Cmi>m\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>S\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo>+\u003C\u002Fmo>\u003Cmsub>\u003Cmi>b\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x_S = \\frac{b_2 - b_1}{m_1 - m_2}, \\quad y_S = m_1 x_S + b_1\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.5806em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3283em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0576em;\">S\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:2.2074em;vertical-align:-0.836em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.3714em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">m\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">−\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">m\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.23em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">b\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">−\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">b\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.836em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:1em;\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">y\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3283em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0576em;\">S\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.7333em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">m\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3283em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0576em;\">S\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">+\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8444em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">b\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","middle",{},"\u002Fde\u002Fformulas\u002Fmath\u002Ffunctions\u002Fschnittpunkt-zweier-geraden",[],[3419,3420,3421],"linear-function","perpendicular-lines","angle-between-lines",{"title":548,"description":3353},"de\u002Fformulas\u002Fmath\u002Ffunctions\u002Fschnittpunkt-zweier-geraden","Zwei Geraden mit verschiedenen Steigungen schneiden sich in genau einem Punkt; man findet ihn durch Gleichsetzen.",[3426,3427,3428,3429],"gerade","schnittpunkt","gleichsetzen","lineare funktion",[3431,3435,3439],{"symbol":3432,"meaning":3433,"symbolHtml":3434},"m_1, b_1","Steigung und y-Achsenabschnitt der ersten Geraden y = m₁x + b₁","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>m\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmsub>\u003Cmi>b\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">m_1, b_1\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">m\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">b\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":3436,"meaning":3437,"symbolHtml":3438},"m_2, b_2","Steigung und y-Achsenabschnitt der zweiten Geraden y = m₂x + b₂","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>m\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmsub>\u003Cmi>b\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">m_2, b_2\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">m\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">b\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":3440,"meaning":3441,"symbolHtml":3442},"x_S, y_S","Koordinaten des Schnittpunkts S","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>S\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmsub>\u003Cmi>y\u003C\u002Fmi>\u003Cmi>S\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x_S, y_S\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.625em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3283em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0576em;\">S\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">y\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3283em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0576em;\">S\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","b0OcLMQZXrEVeD3YjaSCXfubHTq4k0MFxDNS2TANoos",[3445,3448,3451],{"stem":3446,"title":3447,"category":208},"de\u002Fformulas\u002Fmath\u002Ffunctions\u002Flineare-funktion","Lineare Funktion",{"stem":3449,"title":3450,"category":208},"de\u002Fformulas\u002Fmath\u002Ffunctions\u002Forthogonale-geraden","Orthogonale Geraden",{"stem":3452,"title":3453,"category":208},"de\u002Fformulas\u002Fmath\u002Ffunctions\u002Fschnittwinkel-zweier-geraden","Schnittwinkel zweier Geraden",1793824275094]