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Umgestellt heißt das",[574,628,631],{"className":629},[630],"katex-display",[574,632,634,673],{"className":633},[577],[574,635,637],{"className":636},[581],[583,638,640],{"xmlns":585,"display":639},"block",[587,641,642,670],{},[590,643,644,654,657,659],{},[645,646,647,651],"msub",{},[648,649,650],"mi",{},"m",[597,652,653],{},"2",[593,655,656],{},"=",[593,658,595],{},[660,661,662,664],"mfrac",{},[597,663,599],{},[645,665,666,668],{},[648,667,650],{},[597,669,599],{},[601,671,672],{"encoding":603},"m_2 = -\\frac{1}{m_1}",[574,674,676,752],{"className":675,"ariaHidden":609},[608],[574,677,679,683,740,745,749],{"className":678},[613],[574,680],{"className":681,"style":682},[617],"height:0.5806em;vertical-align:-0.15em;",[574,684,686,690],{"className":685},[622],[574,687,650],{"className":688},[622,689],"mathnormal",[574,691,694],{"className":692},[693],"msupsub",[574,695,699,731],{"className":696},[697,698],"vlist-t","vlist-t2",[574,700,703,726],{"className":701},[702],"vlist-r",[574,704,708],{"className":705,"style":707},[706],"vlist","height:0.3011em;",[574,709,711,716],{"style":710},"top:-2.55em;margin-left:0em;margin-right:0.05em;",[574,712],{"className":713,"style":715},[714],"pstrut","height:2.7em;",[574,717,723],{"className":718},[719,720,721,722],"sizing","reset-size6","size3","mtight",[574,724,653],{"className":725},[622,722],[574,727,730],{"className":728},[729],"vlist-s","​",[574,732,734],{"className":733},[702],[574,735,738],{"className":736,"style":737},[706],"height:0.15em;",[574,739],{},[574,741],{"className":742,"style":744},[743],"mspace","margin-right:0.2778em;",[574,746,656],{"className":747},[748],"mrel",[574,750],{"className":751,"style":744},[743],[574,753,755,759,762],{"className":754},[613],[574,756],{"className":757,"style":758},[617],"height:2.1574em;vertical-align:-0.836em;",[574,760,595],{"className":761},[622],[574,763,765,770,868],{"className":764},[622],[574,766],{"className":767},[768,769],"mopen","nulldelimiter",[574,771,773],{"className":772},[660],[574,774,776,859],{"className":775},[697,698],[574,777,779,856],{"className":778},[702],[574,780,783,833,844],{"className":781,"style":782},[706],"height:1.3214em;",[574,784,786,790],{"style":785},"top:-2.314em;",[574,787],{"className":788,"style":789},[714],"height:3em;",[574,791,793],{"className":792},[622],[574,794,796,799],{"className":795},[622],[574,797,650],{"className":798},[622,689],[574,800,802],{"className":801},[693],[574,803,805,825],{"className":804},[697,698],[574,806,808,822],{"className":807},[702],[574,809,811],{"className":810,"style":707},[706],[574,812,813,816],{"style":710},[574,814],{"className":815,"style":715},[714],[574,817,819],{"className":818},[719,720,721,722],[574,820,599],{"className":821},[622,722],[574,823,730],{"className":824},[729],[574,826,828],{"className":827},[702],[574,829,831],{"className":830,"style":737},[706],[574,832],{},[574,834,836,839],{"style":835},"top:-3.23em;",[574,837],{"className":838,"style":789},[714],[574,840],{"className":841,"style":843},[842],"frac-line","border-bottom-width:0.04em;",[574,845,847,850],{"style":846},"top:-3.677em;",[574,848],{"className":849,"style":789},[714],[574,851,853],{"className":852},[622],[574,854,599],{"className":855},[622],[574,857,730],{"className":858},[729],[574,860,862],{"className":861},[702],[574,863,866],{"className":864,"style":865},[706],"height:0.836em;",[574,867],{},[574,869],{"className":870},[871,769],"mclose",[565,873,874,875,878],{},"Die Steigung der senkrechten Geraden ist also der ",[569,876,877],{},"negative Kehrwert",": Bruch umdrehen und Vorzeichen wechseln.",[565,880,881,882,936],{},"Die Regel gilt für Geraden, die eine Steigung haben (also nicht senkrecht sind). Eine waagerechte Gerade (",[574,883,885,904],{"className":884},[577],[574,886,888],{"className":887},[581],[583,889,890],{"xmlns":585},[587,891,892,901],{},[590,893,894,896,898],{},[648,895,650],{},[593,897,656],{},[597,899,900],{},"0",[601,902,903],{"encoding":603},"m = 0",[574,905,907,926],{"className":906,"ariaHidden":609},[608],[574,908,910,914,917,920,923],{"className":909},[613],[574,911],{"className":912,"style":913},[617],"height:0.4306em;",[574,915,650],{"className":916},[622,689],[574,918],{"className":919,"style":744},[743],[574,921,656],{"className":922},[748],[574,924],{"className":925,"style":744},[743],[574,927,929,933],{"className":928},[613],[574,930],{"className":931,"style":932},[617],"height:0.6444em;",[574,934,900],{"className":935},[622],") steht senkrecht auf einer senkrechten Geraden; dieser Fall wird von der Formel nicht erfasst.",[560,938,940],{"id":939},"herleitung","Herleitung",[565,942,943,944,972,973,1043,1044,1113,1114,1183,1184,1212],{},"Ein Steigungsdreieck der ersten Geraden geht ",[574,945,947,960],{"className":946},[577],[574,948,950],{"className":949},[581],[583,951,952],{"xmlns":585},[587,953,954,958],{},[590,955,956],{},[597,957,599],{},[601,959,599],{"encoding":603},[574,961,963],{"className":962,"ariaHidden":609},[608],[574,964,966,969],{"className":965},[613],[574,967],{"className":968,"style":932},[617],[574,970,599],{"className":971},[622]," nach rechts und ",[574,974,976,994],{"className":975},[577],[574,977,979],{"className":978},[581],[583,980,981],{"xmlns":585},[587,982,983,991],{},[590,984,985],{},[645,986,987,989],{},[648,988,650],{},[597,990,599],{},[601,992,993],{"encoding":603},"m_1",[574,995,997],{"className":996,"ariaHidden":609},[608],[574,998,1000,1003],{"className":999},[613],[574,1001],{"className":1002,"style":682},[617],[574,1004,1006,1009],{"className":1005},[622],[574,1007,650],{"className":1008},[622,689],[574,1010,1012],{"className":1011},[693],[574,1013,1015,1035],{"className":1014},[697,698],[574,1016,1018,1032],{"className":1017},[702],[574,1019,1021],{"className":1020,"style":707},[706],[574,1022,1023,1026],{"style":710},[574,1024],{"className":1025,"style":715},[714],[574,1027,1029],{"className":1028},[719,720,721,722],[574,1030,599],{"className":1031},[622,722],[574,1033,730],{"className":1034},[729],[574,1036,1038],{"className":1037},[702],[574,1039,1041],{"className":1040,"style":737},[706],[574,1042],{}," nach oben. Dreht man es um ",[574,1045,1047,1068],{"className":1046},[577],[574,1048,1050],{"className":1049},[581],[583,1051,1052],{"xmlns":585},[587,1053,1054,1065],{},[590,1055,1056],{},[1057,1058,1059,1062],"msup",{},[597,1060,1061],{},"90",[593,1063,1064],{},"∘",[601,1066,1067],{"encoding":603},"90^\\circ",[574,1069,1071],{"className":1070,"ariaHidden":609},[608],[574,1072,1074,1078,1082],{"className":1073},[613],[574,1075],{"className":1076,"style":1077},[617],"height:0.6741em;",[574,1079,1081],{"className":1080},[622],"9",[574,1083,1085,1088],{"className":1084},[622],[574,1086,900],{"className":1087},[622],[574,1089,1091],{"className":1090},[693],[574,1092,1094],{"className":1093},[697],[574,1095,1097],{"className":1096},[702],[574,1098,1100],{"className":1099,"style":1077},[706],[574,1101,1103,1106],{"style":1102},"top:-3.063em;margin-right:0.05em;",[574,1104],{"className":1105,"style":715},[714],[574,1107,1109],{"className":1108},[719,720,721,722],[574,1110,1064],{"className":1111},[1112,722],"mbin"," gegen den Uhrzeigersinn, geht es ",[574,1115,1117,1134],{"className":1116},[577],[574,1118,1120],{"className":1119},[581],[583,1121,1122],{"xmlns":585},[587,1123,1124,1132],{},[590,1125,1126],{},[645,1127,1128,1130],{},[648,1129,650],{},[597,1131,599],{},[601,1133,993],{"encoding":603},[574,1135,1137],{"className":1136,"ariaHidden":609},[608],[574,1138,1140,1143],{"className":1139},[613],[574,1141],{"className":1142,"style":682},[617],[574,1144,1146,1149],{"className":1145},[622],[574,1147,650],{"className":1148},[622,689],[574,1150,1152],{"className":1151},[693],[574,1153,1155,1175],{"className":1154},[697,698],[574,1156,1158,1172],{"className":1157},[702],[574,1159,1161],{"className":1160,"style":707},[706],[574,1162,1163,1166],{"style":710},[574,1164],{"className":1165,"style":715},[714],[574,1167,1169],{"className":1168},[719,720,721,722],[574,1170,599],{"className":1171},[622,722],[574,1173,730],{"className":1174},[729],[574,1176,1178],{"className":1177},[702],[574,1179,1181],{"className":1180,"style":737},[706],[574,1182],{}," nach links und ",[574,1185,1187,1200],{"className":1186},[577],[574,1188,1190],{"className":1189},[581],[583,1191,1192],{"xmlns":585},[587,1193,1194,1198],{},[590,1195,1196],{},[597,1197,599],{},[601,1199,599],{"encoding":603},[574,1201,1203],{"className":1202,"ariaHidden":609},[608],[574,1204,1206,1209],{"className":1205},[613],[574,1207],{"className":1208,"style":932},[617],[574,1210,599],{"className":1211},[622]," nach oben. Die gedrehte Gerade hat also die Steigung",[574,1214,1216],{"className":1215},[630],[574,1217,1219,1267],{"className":1218},[577],[574,1220,1222],{"className":1221},[581],[583,1223,1224],{"xmlns":585,"display":639},[587,1225,1226,1264],{},[590,1227,1228,1234,1236,1250,1252,1254],{},[645,1229,1230,1232],{},[648,1231,650],{},[597,1233,653],{},[593,1235,656],{},[660,1237,1238,1240],{},[597,1239,599],{},[590,1241,1242,1244],{},[593,1243,595],{},[645,1245,1246,1248],{},[648,1247,650],{},[597,1249,599],{},[593,1251,656],{},[593,1253,595],{},[660,1255,1256,1258],{},[597,1257,599],{},[645,1259,1260,1262],{},[648,1261,650],{},[597,1263,599],{},[601,1265,1266],{"encoding":603},"m_2 = \\frac{1}{-m_1} = -\\frac{1}{m_1}",[574,1268,1270,1325,1442],{"className":1269,"ariaHidden":609},[608],[574,1271,1273,1276,1316,1319,1322],{"className":1272},[613],[574,1274],{"className":1275,"style":682},[617],[574,1277,1279,1282],{"className":1278},[622],[574,1280,650],{"className":1281},[622,689],[574,1283,1285],{"className":1284},[693],[574,1286,1288,1308],{"className":1287},[697,698],[574,1289,1291,1305],{"className":1290},[702],[574,1292,1294],{"className":1293,"style":707},[706],[574,1295,1296,1299],{"style":710},[574,1297],{"className":1298,"style":715},[714],[574,1300,1302],{"className":1301},[719,720,721,722],[574,1303,653],{"className":1304},[622,722],[574,1306,730],{"className":1307},[729],[574,1309,1311],{"className":1310},[702],[574,1312,1314],{"className":1313,"style":737},[706],[574,1315],{},[574,1317],{"className":1318,"style":744},[743],[574,1320,656],{"className":1321},[748],[574,1323],{"className":1324,"style":744},[743],[574,1326,1328,1331,1433,1436,1439],{"className":1327},[613],[574,1329],{"className":1330,"style":758},[617],[574,1332,1334,1337,1430],{"className":1333},[622],[574,1335],{"className":1336},[768,769],[574,1338,1340],{"className":1339},[660],[574,1341,1343,1422],{"className":1342},[697,698],[574,1344,1346,1419],{"className":1345},[702],[574,1347,1349,1400,1408],{"className":1348,"style":782},[706],[574,1350,1351,1354],{"style":785},[574,1352],{"className":1353,"style":789},[714],[574,1355,1357,1360],{"className":1356},[622],[574,1358,595],{"className":1359},[622],[574,1361,1363,1366],{"className":1362},[622],[574,1364,650],{"className":1365},[622,689],[574,1367,1369],{"className":1368},[693],[574,1370,1372,1392],{"className":1371},[697,698],[574,1373,1375,1389],{"className":1374},[702],[574,1376,1378],{"className":1377,"style":707},[706],[574,1379,1380,1383],{"style":710},[574,1381],{"className":1382,"style":715},[714],[574,1384,1386],{"className":1385},[719,720,721,722],[574,1387,599],{"className":1388},[622,722],[574,1390,730],{"className":1391},[729],[574,1393,1395],{"className":1394},[702],[574,1396,1398],{"className":1397,"style":737},[706],[574,1399],{},[574,1401,1402,1405],{"style":835},[574,1403],{"className":1404,"style":789},[714],[574,1406],{"className":1407,"style":843},[842],[574,1409,1410,1413],{"style":846},[574,1411],{"className":1412,"style":789},[714],[574,1414,1416],{"className":1415},[622],[574,1417,599],{"className":1418},[622],[574,1420,730],{"className":1421},[729],[574,1423,1425],{"className":1424},[702],[574,1426,1428],{"className":1427,"style":865},[706],[574,1429],{},[574,1431],{"className":1432},[871,769],[574,1434],{"className":1435,"style":744},[743],[574,1437,656],{"className":1438},[748],[574,1440],{"className":1441,"style":744},[743],[574,1443,1445,1448,1451],{"className":1444},[613],[574,1446],{"className":1447,"style":758},[617],[574,1449,595],{"className":1450},[622],[574,1452,1454,1457,1547],{"className":1453},[622],[574,1455],{"className":1456},[768,769],[574,1458,1460],{"className":1459},[660],[574,1461,1463,1539],{"className":1462},[697,698],[574,1464,1466,1536],{"className":1465},[702],[574,1467,1469,1517,1525],{"className":1468,"style":782},[706],[574,1470,1471,1474],{"style":785},[574,1472],{"className":1473,"style":789},[714],[574,1475,1477],{"className":1476},[622],[574,1478,1480,1483],{"className":1479},[622],[574,1481,650],{"className":1482},[622,689],[574,1484,1486],{"className":1485},[693],[574,1487,1489,1509],{"className":1488},[697,698],[574,1490,1492,1506],{"className":1491},[702],[574,1493,1495],{"className":1494,"style":707},[706],[574,1496,1497,1500],{"style":710},[574,1498],{"className":1499,"style":715},[714],[574,1501,1503],{"className":1502},[719,720,721,722],[574,1504,599],{"className":1505},[622,722],[574,1507,730],{"className":1508},[729],[574,1510,1512],{"className":1511},[702],[574,1513,1515],{"className":1514,"style":737},[706],[574,1516],{},[574,1518,1519,1522],{"style":835},[574,1520],{"className":1521,"style":789},[714],[574,1523],{"className":1524,"style":843},[842],[574,1526,1527,1530],{"style":846},[574,1528],{"className":1529,"style":789},[714],[574,1531,1533],{"className":1532},[622],[574,1534,599],{"className":1535},[622],[574,1537,730],{"className":1538},[729],[574,1540,1542],{"className":1541},[702],[574,1543,1545],{"className":1544,"style":865},[706],[574,1546],{},[574,1548],{"className":1549},[871,769],[560,1551,1553],{"id":1552},"beispiele","Beispiele",[565,1555,1556,1557,1649],{},"Senkrecht zu einer Geraden mit ",[574,1558,1560,1582],{"className":1559},[577],[574,1561,1563],{"className":1562},[581],[583,1564,1565],{"xmlns":585},[587,1566,1567,1579],{},[590,1568,1569,1575,1577],{},[645,1570,1571,1573],{},[648,1572,650],{},[597,1574,599],{},[593,1576,656],{},[597,1578,653],{},[601,1580,1581],{"encoding":603},"m_1 = 2",[574,1583,1585,1640],{"className":1584,"ariaHidden":609},[608],[574,1586,1588,1591,1631,1634,1637],{"className":1587},[613],[574,1589],{"className":1590,"style":682},[617],[574,1592,1594,1597],{"className":1593},[622],[574,1595,650],{"className":1596},[622,689],[574,1598,1600],{"className":1599},[693],[574,1601,1603,1623],{"className":1602},[697,698],[574,1604,1606,1620],{"className":1605},[702],[574,1607,1609],{"className":1608,"style":707},[706],[574,1610,1611,1614],{"style":710},[574,1612],{"className":1613,"style":715},[714],[574,1615,1617],{"className":1616},[719,720,721,722],[574,1618,599],{"className":1619},[622,722],[574,1621,730],{"className":1622},[729],[574,1624,1626],{"className":1625},[702],[574,1627,1629],{"className":1628,"style":737},[706],[574,1630],{},[574,1632],{"className":1633,"style":744},[743],[574,1635,656],{"className":1636},[748],[574,1638],{"className":1639,"style":744},[743],[574,1641,1643,1646],{"className":1642},[613],[574,1644],{"className":1645,"style":932},[617],[574,1647,653],{"className":1648},[622]," ist jede Gerade mit",[574,1651,1653],{"className":1652},[630],[574,1654,1656,1719],{"className":1655},[577],[574,1657,1659],{"className":1658},[581],[583,1660,1661],{"xmlns":585,"display":639},[587,1662,1663,1716],{},[590,1664,1665,1671,1673,1675,1681,1683,1685,1688,1691,1694,1696,1699,1703,1705,1707,1710,1712,1714],{},[645,1666,1667,1669],{},[648,1668,650],{},[597,1670,653],{},[593,1672,656],{},[593,1674,595],{},[660,1676,1677,1679],{},[597,1678,599],{},[597,1680,653],{},[593,1682,656],{},[593,1684,595],{},[597,1686,1687],{},"0,5",[593,1689,1690],{"separator":609},",",[743,1692],{"width":1693},"2em",[597,1695,653],{},[593,1697,1698],{},"⋅",[593,1700,1702],{"stretchy":1701},"false","(",[593,1704,595],{},[597,1706,1687],{},[593,1708,1709],{"stretchy":1701},")",[593,1711,656],{},[593,1713,595],{},[597,1715,599],{},[601,1717,1718],{"encoding":603},"m_2 = -\\frac{1}{2} = -0{,}5, \\qquad 2 \\cdot (-0{,}5) = -1",[574,1720,1722,1777,1859,1907,1944],{"className":1721,"ariaHidden":609},[608],[574,1723,1725,1728,1768,1771,1774],{"className":1724},[613],[574,1726],{"className":1727,"style":682},[617],[574,1729,1731,1734],{"className":1730},[622],[574,1732,650],{"className":1733},[622,689],[574,1735,1737],{"className":1736},[693],[574,1738,1740,1760],{"className":1739},[697,698],[574,1741,1743,1757],{"className":1742},[702],[574,1744,1746],{"className":1745,"style":707},[706],[574,1747,1748,1751],{"style":710},[574,1749],{"className":1750,"style":715},[714],[574,1752,1754],{"className":1753},[719,720,721,722],[574,1755,653],{"className":1756},[622,722],[574,1758,730],{"className":1759},[729],[574,1761,1763],{"className":1762},[702],[574,1764,1766],{"className":1765,"style":737},[706],[574,1767],{},[574,1769],{"className":1770,"style":744},[743],[574,1772,656],{"className":1773},[748],[574,1775],{"className":1776,"style":744},[743],[574,1778,1780,1784,1787,1850,1853,1856],{"className":1779},[613],[574,1781],{"className":1782,"style":1783},[617],"height:2.0074em;vertical-align:-0.686em;",[574,1785,595],{"className":1786},[622],[574,1788,1790,1793,1847],{"className":1789},[622],[574,1791],{"className":1792},[768,769],[574,1794,1796],{"className":1795},[660],[574,1797,1799,1838],{"className":1798},[697,698],[574,1800,1802,1835],{"className":1801},[702],[574,1803,1805,1816,1824],{"className":1804,"style":782},[706],[574,1806,1807,1810],{"style":785},[574,1808],{"className":1809,"style":789},[714],[574,1811,1813],{"className":1812},[622],[574,1814,653],{"className":1815},[622],[574,1817,1818,1821],{"style":835},[574,1819],{"className":1820,"style":789},[714],[574,1822],{"className":1823,"style":843},[842],[574,1825,1826,1829],{"style":846},[574,1827],{"className":1828,"style":789},[714],[574,1830,1832],{"className":1831},[622],[574,1833,599],{"className":1834},[622],[574,1836,730],{"className":1837},[729],[574,1839,1841],{"className":1840},[702],[574,1842,1845],{"className":1843,"style":1844},[706],"height:0.686em;",[574,1846],{},[574,1848],{"className":1849},[871,769],[574,1851],{"className":1852,"style":744},[743],[574,1854,656],{"className":1855},[748],[574,1857],{"className":1858,"style":744},[743],[574,1860,1862,1866,1869,1872,1879,1883,1886,1890,1894,1897,1901,1904],{"className":1861},[613],[574,1863],{"className":1864,"style":1865},[617],"height:0.8389em;vertical-align:-0.1944em;",[574,1867,595],{"className":1868},[622],[574,1870,900],{"className":1871},[622],[574,1873,1875],{"className":1874},[622],[574,1876,1690],{"className":1877},[1878],"mpunct",[574,1880,1882],{"className":1881},[622],"5",[574,1884,1690],{"className":1885},[1878],[574,1887],{"className":1888,"style":1889},[743],"margin-right:2em;",[574,1891],{"className":1892,"style":1893},[743],"margin-right:0.1667em;",[574,1895,653],{"className":1896},[622],[574,1898],{"className":1899,"style":1900},[743],"margin-right:0.2222em;",[574,1902,1698],{"className":1903},[1112],[574,1905],{"className":1906,"style":1900},[743],[574,1908,1910,1914,1917,1920,1923,1929,1932,1935,1938,1941],{"className":1909},[613],[574,1911],{"className":1912,"style":1913},[617],"height:1em;vertical-align:-0.25em;",[574,1915,1702],{"className":1916},[768],[574,1918,595],{"className":1919},[622],[574,1921,900],{"className":1922},[622],[574,1924,1926],{"className":1925},[622],[574,1927,1690],{"className":1928},[1878],[574,1930,1882],{"className":1931},[622],[574,1933,1709],{"className":1934},[871],[574,1936],{"className":1937,"style":744},[743],[574,1939,656],{"className":1940},[748],[574,1942],{"className":1943,"style":744},[743],[574,1945,1947,1950,1953],{"className":1946},[613],[574,1948],{"className":1949,"style":618},[617],[574,1951,595],{"className":1952},[622],[574,1954,599],{"className":1955},[622],[565,1957,1958,1959,2028,2029,2187,2188,2391],{},"Gesucht ist die Gerade durch ",[574,1960,1962,1988],{"className":1961},[577],[574,1963,1965],{"className":1964},[581],[583,1966,1967],{"xmlns":585},[587,1968,1969,1985],{},[590,1970,1971,1974,1976,1978,1981,1983],{},[648,1972,1973],{},"P",[593,1975,1702],{"stretchy":1701},[597,1977,653],{},[593,1979,1980],{},"∣",[597,1982,599],{},[593,1984,1709],{"stretchy":1701},[601,1986,1987],{"encoding":603},"P(2 \\mid 1)",[574,1989,1991,2016],{"className":1990,"ariaHidden":609},[608],[574,1992,1994,1997,2001,2004,2007,2010,2013],{"className":1993},[613],[574,1995],{"className":1996,"style":1913},[617],[574,1998,1973],{"className":1999,"style":2000},[622,689],"margin-right:0.1389em;",[574,2002,1702],{"className":2003},[768],[574,2005,653],{"className":2006},[622],[574,2008],{"className":2009,"style":744},[743],[574,2011,1980],{"className":2012},[748],[574,2014],{"className":2015,"style":744},[743],[574,2017,2019,2022,2025],{"className":2018},[613],[574,2020],{"className":2021,"style":1913},[617],[574,2023,599],{"className":2024},[622],[574,2026,1709],{"className":2027},[871],", die senkrecht auf ",[574,2030,2032,2064],{"className":2031},[577],[574,2033,2035],{"className":2034},[581],[583,2036,2037],{"xmlns":585},[587,2038,2039,2061],{},[590,2040,2041,2044,2046,2053,2056,2059],{},[648,2042,2043],{},"y",[593,2045,656],{},[660,2047,2048,2050],{},[597,2049,653],{},[597,2051,2052],{},"3",[648,2054,2055],{},"x",[593,2057,2058],{},"+",[597,2060,599],{},[601,2062,2063],{"encoding":603},"y = \\frac{2}{3}x + 1",[574,2065,2067,2087,2178],{"className":2066,"ariaHidden":609},[608],[574,2068,2070,2074,2078,2081,2084],{"className":2069},[613],[574,2071],{"className":2072,"style":2073},[617],"height:0.625em;vertical-align:-0.1944em;",[574,2075,2043],{"className":2076,"style":2077},[622,689],"margin-right:0.0359em;",[574,2079],{"className":2080,"style":744},[743],[574,2082,656],{"className":2083},[748],[574,2085],{"className":2086,"style":744},[743],[574,2088,2090,2094,2166,2169,2172,2175],{"className":2089},[613],[574,2091],{"className":2092,"style":2093},[617],"height:1.1901em;vertical-align:-0.345em;",[574,2095,2097,2100,2163],{"className":2096},[622],[574,2098],{"className":2099},[768,769],[574,2101,2103],{"className":2102},[660],[574,2104,2106,2154],{"className":2105},[697,698],[574,2107,2109,2151],{"className":2108},[702],[574,2110,2113,2128,2136],{"className":2111,"style":2112},[706],"height:0.8451em;",[574,2114,2116,2119],{"style":2115},"top:-2.655em;",[574,2117],{"className":2118,"style":789},[714],[574,2120,2122],{"className":2121},[719,720,721,722],[574,2123,2125],{"className":2124},[622,722],[574,2126,2052],{"className":2127},[622,722],[574,2129,2130,2133],{"style":835},[574,2131],{"className":2132,"style":789},[714],[574,2134],{"className":2135,"style":843},[842],[574,2137,2139,2142],{"style":2138},"top:-3.394em;",[574,2140],{"className":2141,"style":789},[714],[574,2143,2145],{"className":2144},[719,720,721,722],[574,2146,2148],{"className":2147},[622,722],[574,2149,653],{"className":2150},[622,722],[574,2152,730],{"className":2153},[729],[574,2155,2157],{"className":2156},[702],[574,2158,2161],{"className":2159,"style":2160},[706],"height:0.345em;",[574,2162],{},[574,2164],{"className":2165},[871,769],[574,2167,2055],{"className":2168},[622,689],[574,2170],{"className":2171,"style":1900},[743],[574,2173,2058],{"className":2174},[1112],[574,2176],{"className":2177,"style":1900},[743],[574,2179,2181,2184],{"className":2180},[613],[574,2182],{"className":2183,"style":932},[617],[574,2185,599],{"className":2186},[622]," steht. Die Steigung ist ",[574,2189,2191,2226],{"className":2190},[577],[574,2192,2194],{"className":2193},[581],[583,2195,2196],{"xmlns":585},[587,2197,2198,2223],{},[590,2199,2200,2206,2208,2210,2216,2218,2220],{},[645,2201,2202,2204],{},[648,2203,650],{},[597,2205,653],{},[593,2207,656],{},[593,2209,595],{},[660,2211,2212,2214],{},[597,2213,2052],{},[597,2215,653],{},[593,2217,656],{},[593,2219,595],{},[597,2221,2222],{},"1,5",[601,2224,2225],{"encoding":603},"m_2 = -\\frac{3}{2} = -1{,}5",[574,2227,2229,2284,2370],{"className":2228,"ariaHidden":609},[608],[574,2230,2232,2235,2275,2278,2281],{"className":2231},[613],[574,2233],{"className":2234,"style":682},[617],[574,2236,2238,2241],{"className":2237},[622],[574,2239,650],{"className":2240},[622,689],[574,2242,2244],{"className":2243},[693],[574,2245,2247,2267],{"className":2246},[697,698],[574,2248,2250,2264],{"className":2249},[702],[574,2251,2253],{"className":2252,"style":707},[706],[574,2254,2255,2258],{"style":710},[574,2256],{"className":2257,"style":715},[714],[574,2259,2261],{"className":2260},[719,720,721,722],[574,2262,653],{"className":2263},[622,722],[574,2265,730],{"className":2266},[729],[574,2268,2270],{"className":2269},[702],[574,2271,2273],{"className":2272,"style":737},[706],[574,2274],{},[574,2276],{"className":2277,"style":744},[743],[574,2279,656],{"className":2280},[748],[574,2282],{"className":2283,"style":744},[743],[574,2285,2287,2290,2293,2361,2364,2367],{"className":2286},[613],[574,2288],{"className":2289,"style":2093},[617],[574,2291,595],{"className":2292},[622],[574,2294,2296,2299,2358],{"className":2295},[622],[574,2297],{"className":2298},[768,769],[574,2300,2302],{"className":2301},[660],[574,2303,2305,2350],{"className":2304},[697,698],[574,2306,2308,2347],{"className":2307},[702],[574,2309,2311,2325,2333],{"className":2310,"style":2112},[706],[574,2312,2313,2316],{"style":2115},[574,2314],{"className":2315,"style":789},[714],[574,2317,2319],{"className":2318},[719,720,721,722],[574,2320,2322],{"className":2321},[622,722],[574,2323,653],{"className":2324},[622,722],[574,2326,2327,2330],{"style":835},[574,2328],{"className":2329,"style":789},[714],[574,2331],{"className":2332,"style":843},[842],[574,2334,2335,2338],{"style":2138},[574,2336],{"className":2337,"style":789},[714],[574,2339,2341],{"className":2340},[719,720,721,722],[574,2342,2344],{"className":2343},[622,722],[574,2345,2052],{"className":2346},[622,722],[574,2348,730],{"className":2349},[729],[574,2351,2353],{"className":2352},[702],[574,2354,2356],{"className":2355,"style":2160},[706],[574,2357],{},[574,2359],{"className":2360},[871,769],[574,2362],{"className":2363,"style":744},[743],[574,2365,656],{"className":2366},[748],[574,2368],{"className":2369,"style":744},[743],[574,2371,2373,2376,2379,2382,2388],{"className":2372},[613],[574,2374],{"className":2375,"style":1865},[617],[574,2377,595],{"className":2378},[622],[574,2380,599],{"className":2381},[622],[574,2383,2385],{"className":2384},[622],[574,2386,1690],{"className":2387},[1878],[574,2389,1882],{"className":2390},[622],". Mit der Punkt-Steigungs-Form:",[574,2393,2395],{"className":2394},[630],[574,2396,2398,2445],{"className":2397},[577],[574,2399,2401],{"className":2400},[581],[583,2402,2403],{"xmlns":585,"display":639},[587,2404,2405,2442],{},[590,2406,2407,2409,2411,2413,2415,2417,2419,2421,2423,2425,2427,2429,2431,2433,2435,2437,2439],{},[648,2408,2043],{},[593,2410,656],{},[593,2412,595],{},[597,2414,2222],{},[593,2416,1702],{"stretchy":1701},[648,2418,2055],{},[593,2420,595],{},[597,2422,653],{},[593,2424,1709],{"stretchy":1701},[593,2426,2058],{},[597,2428,599],{},[593,2430,656],{},[593,2432,595],{},[597,2434,2222],{},[648,2436,2055],{},[593,2438,2058],{},[597,2440,2441],{},"4",[601,2443,2444],{"encoding":603},"y = -1{,}5(x - 2) + 1 = -1{,}5x + 4",[574,2446,2448,2466,2502,2523,2541,2574],{"className":2447,"ariaHidden":609},[608],[574,2449,2451,2454,2457,2460,2463],{"className":2450},[613],[574,2452],{"className":2453,"style":2073},[617],[574,2455,2043],{"className":2456,"style":2077},[622,689],[574,2458],{"className":2459,"style":744},[743],[574,2461,656],{"className":2462},[748],[574,2464],{"className":2465,"style":744},[743],[574,2467,2469,2472,2475,2478,2484,2487,2490,2493,2496,2499],{"className":2468},[613],[574,2470],{"className":2471,"style":1913},[617],[574,2473,595],{"className":2474},[622],[574,2476,599],{"className":2477},[622],[574,2479,2481],{"className":2480},[622],[574,2482,1690],{"className":2483},[1878],[574,2485,1882],{"className":2486},[622],[574,2488,1702],{"className":2489},[768],[574,2491,2055],{"className":2492},[622,689],[574,2494],{"className":2495,"style":1900},[743],[574,2497,595],{"className":2498},[1112],[574,2500],{"className":2501,"style":1900},[743],[574,2503,2505,2508,2511,2514,2517,2520],{"className":2504},[613],[574,2506],{"className":2507,"style":1913},[617],[574,2509,653],{"className":2510},[622],[574,2512,1709],{"className":2513},[871],[574,2515],{"className":2516,"style":1900},[743],[574,2518,2058],{"className":2519},[1112],[574,2521],{"className":2522,"style":1900},[743],[574,2524,2526,2529,2532,2535,2538],{"className":2525},[613],[574,2527],{"className":2528,"style":932},[617],[574,2530,599],{"className":2531},[622],[574,2533],{"className":2534,"style":744},[743],[574,2536,656],{"className":2537},[748],[574,2539],{"className":2540,"style":744},[743],[574,2542,2544,2547,2550,2553,2559,2562,2565,2568,2571],{"className":2543},[613],[574,2545],{"className":2546,"style":1865},[617],[574,2548,595],{"className":2549},[622],[574,2551,599],{"className":2552},[622],[574,2554,2556],{"className":2555},[622],[574,2557,1690],{"className":2558},[1878],[574,2560,1882],{"className":2561},[622],[574,2563,2055],{"className":2564},[622,689],[574,2566],{"className":2567,"style":1900},[743],[574,2569,2058],{"className":2570},[1112],[574,2572],{"className":2573,"style":1900},[743],[574,2575,2577,2580],{"className":2576},[613],[574,2578],{"className":2579,"style":932},[617],[574,2581,2441],{"className":2582},[622],[560,2584,2586],{"id":2585},"typische-fehler","Typische Fehler",[2588,2589,2590,2882,3051],"ul",{},[2591,2592,2593,2594,2685,2686,2783,2784,2787,2788,2881],"li",{},"Nur das Vorzeichen wechseln: Zu ",[574,2595,2597,2618],{"className":2596},[577],[574,2598,2600],{"className":2599},[581],[583,2601,2602],{"xmlns":585},[587,2603,2604,2616],{},[590,2605,2606,2612,2614],{},[645,2607,2608,2610],{},[648,2609,650],{},[597,2611,599],{},[593,2613,656],{},[597,2615,653],{},[601,2617,1581],{"encoding":603},[574,2619,2621,2676],{"className":2620,"ariaHidden":609},[608],[574,2622,2624,2627,2667,2670,2673],{"className":2623},[613],[574,2625],{"className":2626,"style":682},[617],[574,2628,2630,2633],{"className":2629},[622],[574,2631,650],{"className":2632},[622,689],[574,2634,2636],{"className":2635},[693],[574,2637,2639,2659],{"className":2638},[697,698],[574,2640,2642,2656],{"className":2641},[702],[574,2643,2645],{"className":2644,"style":707},[706],[574,2646,2647,2650],{"style":710},[574,2648],{"className":2649,"style":715},[714],[574,2651,2653],{"className":2652},[719,720,721,722],[574,2654,599],{"className":2655},[622,722],[574,2657,730],{"className":2658},[729],[574,2660,2662],{"className":2661},[702],[574,2663,2665],{"className":2664,"style":737},[706],[574,2666],{},[574,2668],{"className":2669,"style":744},[743],[574,2671,656],{"className":2672},[748],[574,2674],{"className":2675,"style":744},[743],[574,2677,2679,2682],{"className":2678},[613],[574,2680],{"className":2681,"style":932},[617],[574,2683,653],{"className":2684},[622]," 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ist ebenfalls falsch. Es braucht beides, Kehrwert ",[569,3048,3049],{},"und"," Vorzeichenwechsel.",[2591,3052,3053,3054,3057,3058,2881],{},"Orthogonal und parallel verwechseln: Parallele Geraden haben ",[569,3055,3056],{},"gleiche"," Steigung, ",[574,3059,3061,3087],{"className":3060},[577],[574,3062,3064],{"className":3063},[581],[583,3065,3066],{"xmlns":585},[587,3067,3068,3084],{},[590,3069,3070,3076,3078],{},[645,3071,3072,3074],{},[648,3073,650],{},[597,3075,599],{},[593,3077,656],{},[645,3079,3080,3082],{},[648,3081,650],{},[597,3083,653],{},[601,3085,3086],{"encoding":603},"m_1 = 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