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Das entspricht einem Steigungsdreieck zwischen den beiden Punkten.",[564,1081,1082,1083,1086],{},"Wichtig ist, dass oben und unten ",[1002,1084,1085],{},"in derselben Reihenfolge"," subtrahiert wird: beide Male „Punkt 2 minus Punkt 1“ oder beide Male umgekehrt.",[564,1088,1089,1090,1267,1268,1298],{},"Die Punkte müssen verschiedene x-Werte haben (",[568,1091,1093,1120],{"className":1092},[571],[568,1094,1096],{"className":1095},[575],[577,1097,1098],{"xmlns":579},[581,1099,1100,1117],{},[584,1101,1102,1108,1111],{},[587,1103,1104,1106],{},[590,1105,606],{},[594,1107,596],{},[598,1109,1110],{"mathvariant":1020},"≠",[587,1112,1113,1115],{},[590,1114,606],{},[594,1116,828],{},[623,1118,1119],{"encoding":625},"x_1 \\neq x_2",[568,1121,1123,1220],{"className":1122,"ariaHidden":631},[630],[568,1124,1126,1130,1170,1173,1217],{"className":1125},[635],[568,1127],{"className":1128,"style":1129},[639],"height:0.8889em;vertical-align:-0.1944em;",[568,1131,1133,1136],{"className":1132},[644],[568,1134,606],{"className":1135},[644,648],[568,1137,1139],{"className":1138},[653],[568,1140,1142,1162],{"className":1141},[657,658],[568,1143,1145,1159],{"className":1144},[662],[568,1146,1148],{"className":1147,"style":667},[666],[568,1149,1150,1153],{"style":724},[568,1151],{"className":1152,"style":675},[674],[568,1154,1156],{"className":1155},[679,680,681,682],[568,1157,596],{"className":1158},[644,682],[568,1160,690],{"className":1161},[689],[568,1163,1165],{"className":1164},[662],[568,1166,1168],{"className":1167,"style":697},[666],[568,1169],{},[568,1171],{"className":1172,"style":749},[748],[568,1174,1176,1209,1213],{"className":1175},[753],[568,1177,1179],{"className":1178},[753],[568,1180,1183],{"className":1181},[644,1182],"vbox",[568,1184,1187],{"className":1185},[1186],"thinbox",[568,1188,1191,1194,1205],{"className":1189},[1190],"rlap",[568,1192],{"className":1193,"style":1129},[639],[568,1195,1198],{"className":1196},[1197],"inner",[568,1199,1201],{"className":1200},[644],[568,1202,1204],{"className":1203},[753],"",[568,1206],{"className":1207},[1208],"fix",[568,1210],{"className":1211},[748,1212],"nobreak",[568,1214,1216],{"className":1215},[753],"=",[568,1218],{"className":1219,"style":749},[748],[568,1221,1223,1227],{"className":1222},[635],[568,1224],{"className":1225,"style":1226},[639],"height:0.5806em;vertical-align:-0.15em;",[568,1228,1230,1233],{"className":1229},[644],[568,1231,606],{"className":1232},[644,648],[568,1234,1236],{"className":1235},[653],[568,1237,1239,1259],{"className":1238},[657,658],[568,1240,1242,1256],{"className":1241},[662],[568,1243,1245],{"className":1244,"style":667},[666],[568,1246,1247,1250],{"style":724},[568,1248],{"className":1249,"style":675},[674],[568,1251,1253],{"className":1252},[679,680,681,682],[568,1254,828],{"className":1255},[644,682],[568,1257,690],{"className":1258},[689],[568,1260,1262],{"className":1261},[662],[568,1263,1265],{"className":1264,"style":697},[666],[568,1266],{},"). Sonst liegen sie senkrecht übereinander, der Nenner wird ",[568,1269,1271,1285],{"className":1270},[571],[568,1272,1274],{"className":1273},[575],[577,1275,1276],{"xmlns":579},[581,1277,1278,1283],{},[584,1279,1280],{},[594,1281,1282],{},"0",[623,1284,1282],{"encoding":625},[568,1286,1288],{"className":1287,"ariaHidden":631},[630],[568,1289,1291,1295],{"className":1290},[635],[568,1292],{"className":1293,"style":1294},[639],"height:0.6444em;",[568,1296,1282],{"className":1297},[644],", und die Gerade durch sie hat keine Steigung (sie ist keine Funktion).",[559,1300,1302],{"id":1301},"beispiele","Beispiele",[564,1304,1305,1306,809,1413,1522],{},"Steigung der Geraden durch ",[568,1307,1309,1337],{"className":1308},[571],[568,1310,1312],{"className":1311},[575],[577,1313,1314],{"xmlns":579},[581,1315,1316,1334],{},[584,1317,1318,1324,1326,1328,1330,1332],{},[587,1319,1320,1322],{},[590,1321,592],{},[594,1323,596],{},[598,1325,601],{"stretchy":600},[594,1327,596],{},[598,1329,611],{},[594,1331,828],{},[598,1333,621],{"stretchy":600},[623,1335,1336],{"encoding":625},"P_1(1 \\mid 2)",[568,1338,1340,1401],{"className":1339,"ariaHidden":631},[630],[568,1341,1343,1346,1386,1389,1392,1395,1398],{"className":1342},[635],[568,1344],{"className":1345,"style":640},[639],[568,1347,1349,1352],{"className":1348},[644],[568,1350,592],{"className":1351,"style":649},[644,648],[568,1353,1355],{"className":1354},[653],[568,1356,1358,1378],{"className":1357},[657,658],[568,1359,1361,1375],{"className":1360},[662],[568,1362,1364],{"className":1363,"style":667},[666],[568,1365,1366,1369],{"style":670},[568,1367],{"className":1368,"style":675},[674],[568,1370,1372],{"className":1371},[679,680,681,682],[568,1373,596],{"className":1374},[644,682],[568,1376,690],{"className":1377},[689],[568,1379,1381],{"className":1380},[662],[568,1382,1384],{"className":1383,"style":697},[666],[568,1385],{},[568,1387,601],{"className":1388},[703],[568,1390,596],{"className":1391},[644],[568,1393],{"className":1394,"style":749},[748],[568,1396,611],{"className":1397},[753],[568,1399],{"className":1400,"style":749},[748],[568,1402,1404,1407,1410],{"className":1403},[635],[568,1405],{"className":1406,"style":640},[639],[568,1408,828],{"className":1409},[644],[568,1411,621],{"className":1412},[808],[568,1414,1416,1446],{"className":1415},[571],[568,1417,1419],{"className":1418},[575],[577,1420,1421],{"xmlns":579},[581,1422,1423,1443],{},[584,1424,1425,1431,1433,1436,1438,1441],{},[587,1426,1427,1429],{},[590,1428,592],{},[594,1430,828],{},[598,1432,601],{"stretchy":600},[594,1434,1435],{},"4",[598,1437,611],{},[594,1439,1440],{},"8",[598,1442,621],{"stretchy":600},[623,1444,1445],{"encoding":625},"P_2(4 \\mid 8)",[568,1447,1449,1510],{"className":1448,"ariaHidden":631},[630],[568,1450,1452,1455,1495,1498,1501,1504,1507],{"className":1451},[635],[568,1453],{"className":1454,"style":640},[639],[568,1456,1458,1461],{"className":1457},[644],[568,1459,592],{"className":1460,"style":649},[644,648],[568,1462,1464],{"className":1463},[653],[568,1465,1467,1487],{"className":1466},[657,658],[568,1468,1470,1484],{"className":1469},[662],[568,1471,1473],{"className":1472,"style":667},[666],[568,1474,1475,1478],{"style":670},[568,1476],{"className":1477,"style":675},[674],[568,1479,1481],{"className":1480},[679,680,681,682],[568,1482,828],{"className":1483},[644,682],[568,1485,690],{"className":1486},[689],[568,1488,1490],{"className":1489},[662],[568,1491,1493],{"className":1492,"style":697},[666],[568,1494],{},[568,1496,601],{"className":1497},[703],[568,1499,1435],{"className":1500},[644],[568,1502],{"className":1503,"style":749},[748],[568,1505,611],{"className":1506},[753],[568,1508],{"className":1509,"style":749},[748],[568,1511,1513,1516,1519],{"className":1512},[635],[568,1514],{"className":1515,"style":640},[639],[568,1517,1440],{"className":1518},[644],[568,1520,621],{"className":1521},[808],":",[568,1524,1527],{"className":1525},[1526],"katex-display",[568,1528,1530,1582],{"className":1529},[571],[568,1531,1533],{"className":1532},[575],[577,1534,1536],{"xmlns":579,"display":1535},"block",[581,1537,1538,1579],{},[584,1539,1540,1543,1545,1565,1567,1575,1577],{},[590,1541,1542],{},"m",[598,1544,1216],{},[1546,1547,1548,1557],"mfrac",{},[584,1549,1550,1552,1555],{},[594,1551,1440],{},[598,1553,1554],{},"−",[594,1556,828],{},[584,1558,1559,1561,1563],{},[594,1560,1435],{},[598,1562,1554],{},[594,1564,596],{},[598,1566,1216],{},[1546,1568,1569,1572],{},[594,1570,1571],{},"6",[594,1573,1574],{},"3",[598,1576,1216],{},[594,1578,828],{},[623,1580,1581],{"encoding":625},"m = \\frac{8 - 2}{4 - 1} = \\frac{6}{3} = 2",[568,1583,1585,1604,1717,1796],{"className":1584,"ariaHidden":631},[630],[568,1586,1588,1592,1595,1598,1601],{"className":1587},[635],[568,1589],{"className":1590,"style":1591},[639],"height:0.4306em;",[568,1593,1542],{"className":1594},[644,648],[568,1596],{"className":1597,"style":749},[748],[568,1599,1216],{"className":1600},[753],[568,1602],{"className":1603,"style":749},[748],[568,1605,1607,1611,1708,1711,1714],{"className":1606},[635],[568,1608],{"className":1609,"style":1610},[639],"height:2.0908em;vertical-align:-0.7693em;",[568,1612,1614,1618,1705],{"className":1613},[644],[568,1615],{"className":1616},[703,1617],"nulldelimiter",[568,1619,1621],{"className":1620},[1546],[568,1622,1624,1696],{"className":1623},[657,658],[568,1625,1627,1693],{"className":1626},[662],[568,1628,1631,1658,1669],{"className":1629,"style":1630},[666],"height:1.3214em;",[568,1632,1634,1638],{"style":1633},"top:-2.314em;",[568,1635],{"className":1636,"style":1637},[674],"height:3em;",[568,1639,1641,1644,1648,1652,1655],{"className":1640},[644],[568,1642,1435],{"className":1643},[644],[568,1645],{"className":1646,"style":1647},[748],"margin-right:0.2222em;",[568,1649,1554],{"className":1650},[1651],"mbin",[568,1653],{"className":1654,"style":1647},[748],[568,1656,596],{"className":1657},[644],[568,1659,1661,1664],{"style":1660},"top:-3.23em;",[568,1662],{"className":1663,"style":1637},[674],[568,1665],{"className":1666,"style":1668},[1667],"frac-line","border-bottom-width:0.04em;",[568,1670,1672,1675],{"style":1671},"top:-3.677em;",[568,1673],{"className":1674,"style":1637},[674],[568,1676,1678,1681,1684,1687,1690],{"className":1677},[644],[568,1679,1440],{"className":1680},[644],[568,1682],{"className":1683,"style":1647},[748],[568,1685,1554],{"className":1686},[1651],[568,1688],{"className":1689,"style":1647},[748],[568,1691,828],{"className":1692},[644],[568,1694,690],{"className":1695},[689],[568,1697,1699],{"className":1698},[662],[568,1700,1703],{"className":1701,"style":1702},[666],"height:0.7693em;",[568,1704],{},[568,1706],{"className":1707},[808,1617],[568,1709],{"className":1710,"style":749},[748],[568,1712,1216],{"className":1713},[753],[568,1715],{"className":1716,"style":749},[748],[568,1718,1720,1724,1787,1790,1793],{"className":1719},[635],[568,1721],{"className":1722,"style":1723},[639],"height:2.0074em;vertical-align:-0.686em;",[568,1725,1727,1730,1784],{"className":1726},[644],[568,1728],{"className":1729},[703,1617],[568,1731,1733],{"className":1732},[1546],[568,1734,1736,1775],{"className":1735},[657,658],[568,1737,1739,1772],{"className":1738},[662],[568,1740,1742,1753,1761],{"className":1741,"style":1630},[666],[568,1743,1744,1747],{"style":1633},[568,1745],{"className":1746,"style":1637},[674],[568,1748,1750],{"className":1749},[644],[568,1751,1574],{"className":1752},[644],[568,1754,1755,1758],{"style":1660},[568,1756],{"className":1757,"style":1637},[674],[568,1759],{"className":1760,"style":1668},[1667],[568,1762,1763,1766],{"style":1671},[568,1764],{"className":1765,"style":1637},[674],[568,1767,1769],{"className":1768},[644],[568,1770,1571],{"className":1771},[644],[568,1773,690],{"className":1774},[689],[568,1776,1778],{"className":1777},[662],[568,1779,1782],{"className":1780,"style":1781},[666],"height:0.686em;",[568,1783],{},[568,1785],{"className":1786},[808,1617],[568,1788],{"className":1789,"style":749},[748],[568,1791,1216],{"className":1792},[753],[568,1794],{"className":1795,"style":749},[748],[568,1797,1799,1802],{"className":1798},[635],[568,1800],{"className":1801,"style":1294},[639],[568,1803,828],{"className":1804},[644],[564,1806,1305,1807,809,1880,1522],{},[568,1808,1810,1838],{"className":1809},[571],[568,1811,1813],{"className":1812},[575],[577,1814,1815],{"xmlns":579},[581,1816,1817,1835],{},[584,1818,1819,1822,1824,1826,1828,1830,1833],{},[590,1820,1821],{},"A",[598,1823,601],{"stretchy":600},[598,1825,1554],{},[594,1827,828],{},[598,1829,611],{},[594,1831,1832],{},"5",[598,1834,621],{"stretchy":600},[623,1836,1837],{"encoding":625},"A(-2 \\mid 5)",[568,1839,1841,1868],{"className":1840,"ariaHidden":631},[630],[568,1842,1844,1847,1850,1853,1856,1859,1862,1865],{"className":1843},[635],[568,1845],{"className":1846,"style":640},[639],[568,1848,1821],{"className":1849},[644,648],[568,1851,601],{"className":1852},[703],[568,1854,1554],{"className":1855},[644],[568,1857,828],{"className":1858},[644],[568,1860],{"className":1861,"style":749},[748],[568,1863,611],{"className":1864},[753],[568,1866],{"className":1867,"style":749},[748],[568,1869,1871,1874,1877],{"className":1870},[635],[568,1872],{"className":1873,"style":640},[639],[568,1875,1832],{"className":1876},[644],[568,1878,621],{"className":1879},[808],[568,1881,1883,1910],{"className":1882},[571],[568,1884,1886],{"className":1885},[575],[577,1887,1888],{"xmlns":579},[581,1889,1890,1907],{},[584,1891,1892,1895,1897,1899,1901,1903,1905],{},[590,1893,1894],{},"B",[598,1896,601],{"stretchy":600},[594,1898,828],{},[598,1900,611],{},[598,1902,1554],{},[594,1904,596],{},[598,1906,621],{"stretchy":600},[623,1908,1909],{"encoding":625},"B(2 \\mid -1)",[568,1911,1913,1938],{"className":1912,"ariaHidden":631},[630],[568,1914,1916,1919,1923,1926,1929,1932,1935],{"className":1915},[635],[568,1917],{"className":1918,"style":640},[639],[568,1920,1894],{"className":1921,"style":1922},[644,648],"margin-right:0.0502em;",[568,1924,601],{"className":1925},[703],[568,1927,828],{"className":1928},[644],[568,1930],{"className":1931,"style":749},[748],[568,1933,611],{"className":1934},[753],[568,1936],{"className":1937,"style":749},[748],[568,1939,1941,1944,1947,1950],{"className":1940},[635],[568,1942],{"className":1943,"style":640},[639],[568,1945,1554],{"className":1946},[644],[568,1948,596],{"className":1949},[644],[568,1951,621],{"className":1952},[808],[568,1954,1956],{"className":1955},[1526],[568,1957,1959,2020],{"className":1958},[571],[568,1960,1962],{"className":1961},[575],[577,1963,1964],{"xmlns":579,"display":1535},[581,1965,1966,2017],{},[584,1967,1968,1970,1972,1998,2000,2010,2012,2014],{},[590,1969,1542],{},[598,1971,1216],{},[1546,1973,1974,1984],{},[584,1975,1976,1978,1980,1982],{},[598,1977,1554],{},[594,1979,596],{},[598,1981,1554],{},[594,1983,1832],{},[584,1985,1986,1988,1990,1992,1994,1996],{},[594,1987,828],{},[598,1989,1554],{},[598,1991,601],{"stretchy":600},[598,1993,1554],{},[594,1995,828],{},[598,1997,621],{"stretchy":600},[598,1999,1216],{},[1546,2001,2002,2008],{},[584,2003,2004,2006],{},[598,2005,1554],{},[594,2007,1571],{},[594,2009,1435],{},[598,2011,1216],{},[598,2013,1554],{},[594,2015,2016],{},"1,5",[623,2018,2019],{"encoding":625},"m = \\frac{-1 - 5}{2 - (-2)} = \\frac{-6}{4} = -1{,}5",[568,2021,2023,2041,2156,2236],{"className":2022,"ariaHidden":631},[630],[568,2024,2026,2029,2032,2035,2038],{"className":2025},[635],[568,2027],{"className":2028,"style":1591},[639],[568,2030,1542],{"className":2031},[644,648],[568,2033],{"className":2034,"style":749},[748],[568,2036,1216],{"className":2037},[753],[568,2039],{"className":2040,"style":749},[748],[568,2042,2044,2048,2147,2150,2153],{"className":2043},[635],[568,2045],{"className":2046,"style":2047},[639],"height:2.2574em;vertical-align:-0.936em;",[568,2049,2051,2054,2144],{"className":2050},[644],[568,2052],{"className":2053},[703,1617],[568,2055,2057],{"className":2056},[1546],[568,2058,2060,2135],{"className":2059},[657,658],[568,2061,2063,2132],{"className":2062},[662],[568,2064,2066,2098,2106],{"className":2065,"style":1630},[666],[568,2067,2068,2071],{"style":1633},[568,2069],{"className":2070,"style":1637},[674],[568,2072,2074,2077,2080,2083,2086,2089,2092,2095],{"className":2073},[644],[568,2075,828],{"className":2076},[644],[568,2078],{"className":2079,"style":1647},[748],[568,2081,1554],{"className":2082},[1651],[568,2084],{"className":2085,"style":1647},[748],[568,2087,601],{"className":2088},[703],[568,2090,1554],{"className":2091},[644],[568,2093,828],{"className":2094},[644],[568,2096,621],{"className":2097},[808],[568,2099,2100,2103],{"style":1660},[568,2101],{"className":2102,"style":1637},[674],[568,2104],{"className":2105,"style":1668},[1667],[568,2107,2108,2111],{"style":1671},[568,2109],{"className":2110,"style":1637},[674],[568,2112,2114,2117,2120,2123,2126,2129],{"className":2113},[644],[568,2115,1554],{"className":2116},[644],[568,2118,596],{"className":2119},[644],[568,2121],{"className":2122,"style":1647},[748],[568,2124,1554],{"className":2125},[1651],[568,2127],{"className":2128,"style":1647},[748],[568,2130,1832],{"className":2131},[644],[568,2133,690],{"className":2134},[689],[568,2136,2138],{"className":2137},[662],[568,2139,2142],{"className":2140,"style":2141},[666],"height:0.936em;",[568,2143],{},[568,2145],{"className":2146},[808,1617],[568,2148],{"className":2149,"style":749},[748],[568,2151,1216],{"className":2152},[753],[568,2154],{"className":2155,"style":749},[748],[568,2157,2159,2162,2227,2230,2233],{"className":2158},[635],[568,2160],{"className":2161,"style":1723},[639],[568,2163,2165,2168,2224],{"className":2164},[644],[568,2166],{"className":2167},[703,1617],[568,2169,2171],{"className":2170},[1546],[568,2172,2174,2216],{"className":2173},[657,658],[568,2175,2177,2213],{"className":2176},[662],[568,2178,2180,2191,2199],{"className":2179,"style":1630},[666],[568,2181,2182,2185],{"style":1633},[568,2183],{"className":2184,"style":1637},[674],[568,2186,2188],{"className":2187},[644],[568,2189,1435],{"className":2190},[644],[568,2192,2193,2196],{"style":1660},[568,2194],{"className":2195,"style":1637},[674],[568,2197],{"className":2198,"style":1668},[1667],[568,2200,2201,2204],{"style":1671},[568,2202],{"className":2203,"style":1637},[674],[568,2205,2207,2210],{"className":2206},[644],[568,2208,1554],{"className":2209},[644],[568,2211,1571],{"className":2212},[644],[568,2214,690],{"className":2215},[689],[568,2217,2219],{"className":2218},[662],[568,2220,2222],{"className":2221,"style":1781},[666],[568,2223],{},[568,2225],{"className":2226},[808,1617],[568,2228],{"className":2229,"style":749},[748],[568,2231,1216],{"className":2232},[753],[568,2234],{"className":2235,"style":749},[748],[568,2237,2239,2243,2246,2249,2257],{"className":2238},[635],[568,2240],{"className":2241,"style":2242},[639],"height:0.8389em;vertical-align:-0.1944em;",[568,2244,1554],{"className":2245},[644],[568,2247,596],{"className":2248},[644],[568,2250,2252],{"className":2251},[644],[568,2253,2256],{"className":2254},[2255],"mpunct",",",[568,2258,1832],{"className":2259},[644],[564,2261,2262],{},"Die Steigung ist negativ, die Gerade fällt also.",[559,2264,2266],{"id":2265},"typische-fehler","Typische Fehler",[2268,2269,2270,2822,2941],"ul",{},[2271,2272,2273,2274,2572,2573,809,2601,2629,2630,2777,2778,2821],"li",{},"Oben und unten in verschiedener Reihenfolge subtrahieren: ",[568,2275,2277,2323],{"className":2276},[571],[568,2278,2280],{"className":2279},[575],[577,2281,2282],{"xmlns":579},[581,2283,2284,2320],{},[584,2285,2286],{},[1546,2287,2288,2304],{},[584,2289,2290,2296,2298],{},[587,2291,2292,2294],{},[590,2293,616],{},[594,2295,828],{},[598,2297,1554],{},[587,2299,2300,2302],{},[590,2301,616],{},[594,2303,596],{},[584,2305,2306,2312,2314],{},[587,2307,2308,2310],{},[590,2309,606],{},[594,2311,596],{},[598,2313,1554],{},[587,2315,2316,2318],{},[590,2317,606],{},[594,2319,828],{},[623,2321,2322],{"encoding":625},"\\frac{y_2 - y_1}{x_1 - x_2}",[568,2324,2326],{"className":2325,"ariaHidden":631},[630],[568,2327,2329,2333],{"className":2328},[635],[568,2330],{"className":2331,"style":2332},[639],"height:1.2995em;vertical-align:-0.4451em;",[568,2334,2336,2339,2569],{"className":2335},[644],[568,2337],{"className":2338},[703,1617],[568,2340,2342],{"className":2341},[1546],[568,2343,2345,2560],{"className":2344},[657,658],[568,2346,2348,2557],{"className":2347},[662],[568,2349,2352,2453,2461],{"className":2350,"style":2351},[666],"height:0.8544em;",[568,2353,2355,2358],{"style":2354},"top:-2.655em;",[568,2356],{"className":2357,"style":1637},[674],[568,2359,2361],{"className":2360},[679,680,681,682],[568,2362,2364,2410,2413],{"className":2363},[644,682],[568,2365,2367,2370],{"className":2366},[644,682],[568,2368,606],{"className":2369},[644,648,682],[568,2371,2373],{"className":2372},[653],[568,2374,2376,2401],{"className":2375},[657,658],[568,2377,2379,2398],{"className":2378},[662],[568,2380,2383],{"className":2381,"style":2382},[666],"height:0.3173em;",[568,2384,2386,2390],{"style":2385},"top:-2.357em;margin-left:0em;margin-right:0.0714em;",[568,2387],{"className":2388,"style":2389},[674],"height:2.5em;",[568,2391,2395],{"className":2392},[679,2393,2394,682],"reset-size3","size1",[568,2396,596],{"className":2397},[644,682],[568,2399,690],{"className":2400},[689],[568,2402,2404],{"className":2403},[662],[568,2405,2408],{"className":2406,"style":2407},[666],"height:0.143em;",[568,2409],{},[568,2411,1554],{"className":2412},[1651,682],[568,2414,2416,2419],{"className":2415},[644,682],[568,2417,606],{"className":2418},[644,648,682],[568,2420,2422],{"className":2421},[653],[568,2423,2425,2445],{"className":2424},[657,658],[568,2426,2428,2442],{"className":2427},[662],[568,2429,2431],{"className":2430,"style":2382},[666],[568,2432,2433,2436],{"style":2385},[568,2434],{"className":2435,"style":2389},[674],[568,2437,2439],{"className":2438},[679,2393,2394,682],[568,2440,828],{"className":2441},[644,682],[568,2443,690],{"className":2444},[689],[568,2446,2448],{"className":2447},[662],[568,2449,2451],{"className":2450,"style":2407},[666],[568,2452],{},[568,2454,2455,2458],{"style":1660},[568,2456],{"className":2457,"style":1637},[674],[568,2459],{"className":2460,"style":1668},[1667],[568,2462,2464,2467],{"style":2463},"top:-3.4461em;",[568,2465],{"className":2466,"style":1637},[674],[568,2468,2470],{"className":2469},[679,680,681,682],[568,2471,2473,2514,2517],{"className":2472},[644,682],[568,2474,2476,2479],{"className":2475},[644,682],[568,2477,616],{"className":2478,"style":769},[644,648,682],[568,2480,2482],{"className":2481},[653],[568,2483,2485,2506],{"className":2484},[657,658],[568,2486,2488,2503],{"className":2487},[662],[568,2489,2491],{"className":2490,"style":2382},[666],[568,2492,2494,2497],{"style":2493},"top:-2.357em;margin-left:-0.0359em;margin-right:0.0714em;",[568,2495],{"className":2496,"style":2389},[674],[568,2498,2500],{"className":2499},[679,2393,2394,682],[568,2501,828],{"className":2502},[644,682],[568,2504,690],{"className":2505},[689],[568,2507,2509],{"className":2508},[662],[568,2510,2512],{"className":2511,"style":2407},[666],[568,2513],{},[568,2515,1554],{"className":2516},[1651,682],[568,2518,2520,2523],{"className":2519},[644,682],[568,2521,616],{"className":2522,"style":769},[644,648,682],[568,2524,2526],{"className":2525},[653],[568,2527,2529,2549],{"className":2528},[657,658],[568,2530,2532,2546],{"className":2531},[662],[568,2533,2535],{"className":2534,"style":2382},[666],[568,2536,2537,2540],{"style":2493},[568,2538],{"className":2539,"style":2389},[674],[568,2541,2543],{"className":2542},[679,2393,2394,682],[568,2544,596],{"className":2545},[644,682],[568,2547,690],{"className":2548},[689],[568,2550,2552],{"className":2551},[662],[568,2553,2555],{"className":2554,"style":2407},[666],[568,2556],{},[568,2558,690],{"className":2559},[689],[568,2561,2563],{"className":2562},[662],[568,2564,2567],{"className":2565,"style":2566},[666],"height:0.4451em;",[568,2568],{},[568,2570],{"className":2571},[808,1617]," liefert das falsche Vorzeichen. Bei ",[568,2574,2576,2589],{"className":2575},[571],[568,2577,2579],{"className":2578},[575],[577,2580,2581],{"xmlns":579},[581,2582,2583,2587],{},[584,2584,2585],{},[590,2586,1821],{},[623,2588,1821],{"encoding":625},[568,2590,2592],{"className":2591,"ariaHidden":631},[630],[568,2593,2595,2598],{"className":2594},[635],[568,2596],{"className":2597,"style":1072},[639],[568,2599,1821],{"className":2600},[644,648],[568,2602,2604,2617],{"className":2603},[571],[568,2605,2607],{"className":2606},[575],[577,2608,2609],{"xmlns":579},[581,2610,2611,2615],{},[584,2612,2613],{},[590,2614,1894],{},[623,2616,1894],{"encoding":625},[568,2618,2620],{"className":2619,"ariaHidden":631},[630],[568,2621,2623,2626],{"className":2622},[635],[568,2624],{"className":2625,"style":1072},[639],[568,2627,1894],{"className":2628,"style":1922},[644,648]," oben käme ",[568,2631,2633,2663],{"className":2632},[571],[568,2634,2636],{"className":2635},[575],[577,2637,2638],{"xmlns":579},[581,2639,2640,2660],{},[584,2641,2642,2656,2658],{},[1546,2643,2644,2650],{},[584,2645,2646,2648],{},[598,2647,1554],{},[594,2649,1571],{},[584,2651,2652,2654],{},[598,2653,1554],{},[594,2655,1435],{},[598,2657,1216],{},[594,2659,2016],{},[623,2661,2662],{"encoding":625},"\\frac{-6}{-4} = 1{,}5",[568,2664,2666,2759],{"className":2665,"ariaHidden":631},[630],[568,2667,2669,2673,2750,2753,2756],{"className":2668},[635],[568,2670],{"className":2671,"style":2672},[639],"height:1.2484em;vertical-align:-0.4033em;",[568,2674,2676,2679,2747],{"className":2675},[644],[568,2677],{"className":2678},[703,1617],[568,2680,2682],{"className":2681},[1546],[568,2683,2685,2738],{"className":2684},[657,658],[568,2686,2688,2735],{"className":2687},[662],[568,2689,2692,2709,2717],{"className":2690,"style":2691},[666],"height:0.8451em;",[568,2693,2694,2697],{"style":2354},[568,2695],{"className":2696,"style":1637},[674],[568,2698,2700],{"className":2699},[679,680,681,682],[568,2701,2703,2706],{"className":2702},[644,682],[568,2704,1554],{"className":2705},[644,682],[568,2707,1435],{"className":2708},[644,682],[568,2710,2711,2714],{"style":1660},[568,2712],{"className":2713,"style":1637},[674],[568,2715],{"className":2716,"style":1668},[1667],[568,2718,2720,2723],{"style":2719},"top:-3.394em;",[568,2721],{"className":2722,"style":1637},[674],[568,2724,2726],{"className":2725},[679,680,681,682],[568,2727,2729,2732],{"className":2728},[644,682],[568,2730,1554],{"className":2731},[644,682],[568,2733,1571],{"className":2734},[644,682],[568,2736,690],{"className":2737},[689],[568,2739,2741],{"className":2740},[662],[568,2742,2745],{"className":2743,"style":2744},[666],"height:0.4033em;",[568,2746],{},[568,2748],{"className":2749},[808,1617],[568,2751],{"className":2752,"style":749},[748],[568,2754,1216],{"className":2755},[753],[568,2757],{"className":2758,"style":749},[748],[568,2760,2762,2765,2768,2774],{"className":2761},[635],[568,2763],{"className":2764,"style":2242},[639],[568,2766,596],{"className":2767},[644],[568,2769,2771],{"className":2770},[644],[568,2772,2256],{"className":2773},[2255],[568,2775,1832],{"className":2776},[644]," heraus statt ",[568,2779,2781,2797],{"className":2780},[571],[568,2782,2784],{"className":2783},[575],[577,2785,2786],{"xmlns":579},[581,2787,2788,2794],{},[584,2789,2790,2792],{},[598,2791,1554],{},[594,2793,2016],{},[623,2795,2796],{"encoding":625},"-1{,}5",[568,2798,2800],{"className":2799,"ariaHidden":631},[630],[568,2801,2803,2806,2809,2812,2818],{"className":2802},[635],[568,2804],{"className":2805,"style":2242},[639],[568,2807,1554],{"className":2808},[644],[568,2810,596],{"className":2811},[644],[568,2813,2815],{"className":2814},[644],[568,2816,2256],{"className":2817},[2255],[568,2819,1832],{"className":2820},[644],".",[2271,2823,2824,2825,2940],{},"x- und y-Differenz vertauschen: ",[568,2826,2828,2854],{"className":2827},[571],[568,2829,2831],{"className":2830},[575],[577,2832,2833],{"xmlns":579},[581,2834,2835,2851],{},[584,2836,2837],{},[1546,2838,2839,2845],{},[584,2840,2841,2843],{},[590,2842,1021],{"mathvariant":1020},[590,2844,606],{},[584,2846,2847,2849],{},[590,2848,1021],{"mathvariant":1020},[590,2850,616],{},[623,2852,2853],{"encoding":625},"\\frac{\\Delta x}{\\Delta y}",[568,2855,2857],{"className":2856,"ariaHidden":631},[630],[568,2858,2860,2864],{"className":2859},[635],[568,2861],{"className":2862,"style":2863},[639],"height:1.3534em;vertical-align:-0.4811em;",[568,2865,2867,2870,2937],{"className":2866},[644],[568,2868],{"className":2869},[703,1617],[568,2871,2873],{"className":2872},[1546],[568,2874,2876,2928],{"className":2875},[657,658],[568,2877,2879,2925],{"className":2878},[662],[568,2880,2883,2900,2908],{"className":2881,"style":2882},[666],"height:0.8723em;",[568,2884,2885,2888],{"style":2354},[568,2886],{"className":2887,"style":1637},[674],[568,2889,2891],{"className":2890},[679,680,681,682],[568,2892,2894,2897],{"className":2893},[644,682],[568,2895,1021],{"className":2896},[644,682],[568,2898,616],{"className":2899,"style":769},[644,648,682],[568,2901,2902,2905],{"style":1660},[568,2903],{"className":2904,"style":1637},[674],[568,2906],{"className":2907,"style":1668},[1667],[568,2909,2910,2913],{"style":2719},[568,2911],{"className":2912,"style":1637},[674],[568,2914,2916],{"className":2915},[679,680,681,682],[568,2917,2919,2922],{"className":2918},[644,682],[568,2920,1021],{"className":2921},[644,682],[568,2923,606],{"className":2924},[644,648,682],[568,2926,690],{"className":2927},[689],[568,2929,2931],{"className":2930},[662],[568,2932,2935],{"className":2933,"style":2934},[666],"height:0.4811em;",[568,2936],{},[568,2938],{"className":2939},[808,1617]," ergibt den Kehrwert der Steigung. Merkhilfe: „Höhe durch Breite“, also y oben.",[2271,2942,2943,2944,3033,3034,2821],{},"Minus mal Minus übersehen: ",[568,2945,2947,2975],{"className":2946},[571],[568,2948,2950],{"className":2949},[575],[577,2951,2952],{"xmlns":579},[581,2953,2954,2972],{},[584,2955,2956,2958,2960,2962,2964,2966,2968,2970],{},[594,2957,828],{},[598,2959,1554],{},[598,2961,601],{"stretchy":600},[598,2963,1554],{},[594,2965,828],{},[598,2967,621],{"stretchy":600},[598,2969,1216],{},[594,2971,1435],{},[623,2973,2974],{"encoding":625},"2 - (-2) = 4",[568,2976,2978,2997,3024],{"className":2977,"ariaHidden":631},[630],[568,2979,2981,2985,2988,2991,2994],{"className":2980},[635],[568,2982],{"className":2983,"style":2984},[639],"height:0.7278em;vertical-align:-0.0833em;",[568,2986,828],{"className":2987},[644],[568,2989],{"className":2990,"style":1647},[748],[568,2992,1554],{"className":2993},[1651],[568,2995],{"className":2996,"style":1647},[748],[568,2998,3000,3003,3006,3009,3012,3015,3018,3021],{"className":2999},[635],[568,3001],{"className":3002,"style":640},[639],[568,3004,601],{"className":3005},[703],[568,3007,1554],{"className":3008},[644],[568,3010,828],{"className":3011},[644],[568,3013,621],{"className":3014},[808],[568,3016],{"className":3017,"style":749},[748],[568,3019,1216],{"className":3020},[753],[568,3022],{"className":3023,"style":749},[748],[568,3025,3027,3030],{"className":3026},[635],[568,3028],{"className":3029,"style":1294},[639],[568,3031,1435],{"className":3032},[644],", nicht ",[568,3035,3037,3050],{"className":3036},[571],[568,3038,3040],{"className":3039},[575],[577,3041,3042],{"xmlns":579},[581,3043,3044,3048],{},[584,3045,3046],{},[594,3047,1282],{},[623,3049,1282],{"encoding":625},[568,3051,3053],{"className":3052,"ariaHidden":631},[630],[568,3054,3056,3059],{"className":3055},[635],[568,3057],{"className":3058,"style":1294},[639],[568,3060,1282],{"className":3061},[644],{"title":3063,"searchDepth":3064,"depth":3064,"links":3065},"",2,[3066,3067,3068],{"id":561,"depth":3064,"text":562},{"id":1301,"depth":3064,"text":1302},{"id":2265,"depth":3064,"text":2266},[3070,3073,3076,3081,3087],{"lhs":3071,"rhs":3072},"(y2 - y1)\u002F(x2 - x1)","(y1 - y2)\u002F(x1 - x2)",{"lhs":3074,"rhs":3075},"y1 + (y2 - y1)\u002F(x2 - x1) * (x2 - x1)","y2",{"lhs":3071,"rhs":828,"where":3077},{"x1":3078,"y1":3064,"x2":3079,"y2":3080},1,4,8,{"lhs":3071,"rhs":3082,"where":3083},"-1.5",{"x1":3084,"y1":3085,"x2":3064,"y2":3086},-2,5,-1,{"lhs":3088,"rhs":3089},"(-1 - 5)\u002F(-2 - 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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\" 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:0.3011em;\">\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 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\" 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:0.3011em;\">\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 mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan 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