Parallel and perpendicular lines

(the database of solved problems)

All the problems and solutions shown below were generated using the Parallel and perpendicular lines calculator.

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ID	Problem	Count
1501	Find the line that is parallel to $ y = - \frac{ 1 }{ 3 } x $ and passes though the point $ \left(5,~15\right) $.	2
1502	Find the line that is parallel to $ y = \frac{ 7 }{ 8 } x - 2 $ and passes though the point $ \left(-1,~7\right) $.	2
1503	Find the line that is perpendicular to $ y = \frac{ 1 }{ 5 } x - 2 $ and passes though the point $ \left(5,~-3\right) $.	2
1504	Find the line that is parallel to $ y = - \frac{ 1 }{ 5 } x - 5 $ and passes though the point $ \left(0,~0\right) $.	2
1505	Find the line that is perpendicular to $ y = \frac{ 4 }{ 7 } x + 1 $ and passes though the point $ \left(4,~4\right) $.	2
1506	Find the line that is parallel to $ y = \frac{ 4 }{ 7 } x - 1 $ and passes though the point $ \left(4,~4\right) $.	2
1507	Find the line that is perpendicular to $ y = - 2 x + 6 $ and passes though the point $ \left(12,~-48\right) $.	2
1508	Find the line that is parallel to $ y = - 2 x + 6 $ and passes though the point $ \left(12,~-48\right) $.	2
1509	Find the line that is parallel to $ y = 8 x - 8 $ and passes though the point $ \left(-7,~-3\right) $.	2
1510	Find the line that is parallel to $ y = - \frac{ 4 }{ 3 } x + 9 $ and passes though the point $ \left(-8,~6\right) $.	2
1511	Find the line that is perpendicular to $ y = - \frac{ 4 }{ 3 } x + 9 $ and passes though the point $ \left(-8,~6\right) $.	2
1512	Find the line that is parallel to $ 7x+8y-3=0 $ and passes though the point $ \left(2,~3\right) $.	2
1513	Find the line that is perpendicular to $ y = - 7 x + 2 $ and passes though the point $ \left(-2,~-5\right) $.	2
1514	Find the line that is perpendicular to $ y = \frac{ 2 }{ 5 } x + 7 $ and passes though the point $ \left(-2,~2\right) $.	2
1515	Find the line that is parallel to $ 3x-4y+12=0 $ and passes though the point $ \left(\dfrac{ 18 }{ 7 },~0\right) $.	2
1516	Find the line that is perpendicular to $ y = - \frac{ 7 }{ 2 } x + 9 $ and passes though the point $ \left(\dfrac{ 18 }{ 7 },~\dfrac{ 417 }{ 100 }\right) $.	2
1517	Find the line that is parallel to $ y = - \frac{ 7 }{ 2 } x + 9 $ and passes though the point $ \left(0,~0\right) $.	2
1518	Find the line that is perpendicular to $ y = - \frac{ 7 }{ 2 } x + 9 $ and passes though the point $ \left(10,~3\right) $.	2
1519	Find the line that is parallel to $ y = - \frac{ 7 }{ 2 } x + 9 $ and passes though the point $ \left(10,~3\right) $.	2
1520	Find the line that is parallel to $ y = x $ and passes though the point $ \left(0,~0\right) $.	2
1521	Find the line that is perpendicular to $ x+7y+10=0 $ and passes though the point $ \left(0,~0\right) $.	2
1522	Find the line that is perpendicular to $ y = - 5 x + 4 $ and passes though the point $ \left(2,~-4\right) $.	2
1523	Find the line that is parallel to $ y = - 5 x + 4 $ and passes though the point $ \left(2,~-4\right) $.	2
1524	Find the line that is perpendicular to $ 7x-3y-9=0 $ and passes though the point $ \left(7,~4\right) $.	2
1525	Find the line that is parallel to $ y = \frac{ 8 }{ 3 } x + 2 $ and passes though the point $ \left(0,~0\right) $.	2
1526	Find the line that is perpendicular to $ y = \frac{ 8 }{ 3 } x + 2 $ and passes though the point $ \left(-8,~-4\right) $.	2
1527	Find the line that is parallel to $ y = \frac{ 8 }{ 3 } x + 2 $ and passes though the point $ \left(-8,~-4\right) $.	2
1528	Find the line that is parallel to $ y = - 2 x - 1 $ and passes though the point $ \left(-8,~3\right) $.	2
1529	Find the line that is perpendicular to $ 3x+7y-1=0 $ and passes though the point $ \left(9,~6\right) $.	2
1530	Find the line that is perpendicular to $ 2x-5y-3=0 $ and passes though the point $ \left(-3,~-4\right) $.	2
1531	Find the line that is perpendicular to $ 5y+9=0 $ and passes though the point $ \left(-2,~-3\right) $.	2
1532	Find the line that is perpendicular to $ x+2y+5=0 $ and passes though the point $ \left(-3,~-2\right) $.	2
1533	Find the line that is parallel to $ y = \frac{ 1 }{ 6 } x + 18 $ and passes though the point $ \left(1,~2\right) $.	2
1534	Find the line that is perpendicular to $ y = 6 x - 2 $ and passes though the point $ \left(6,~2\right) $.	2
1535	Find the line that is perpendicular to $ y = 5 x - 9 $ and passes though the point $ \left(-3,~6\right) $.	2
1536	Find the line that is perpendicular to $ y = - \frac{ 4 }{ 9 } x - 1 $ and passes though the point $ \left(4,~2\right) $.	2
1537	Find the line that is perpendicular to $ y = - 6 x + 7 $ and passes though the point $ \left(-2,~-2\right) $.	2
1538	Find the line that is parallel to $ y = - 6 x + 7 $ and passes though the point $ \left(-2,~-2\right) $.	2
1539	Find the line that is parallel to $ y = 3 x + 7 $ and passes though the point $ \left(4,~8\right) $.	2
1540	Find the line that is parallel to $ y = x + 2 $ and passes though the point $ \left(3,~4\right) $.	2
1541	Find the line that is parallel to $ y = - 7 x + 5 $ and passes though the point $ \left(-4,~2\right) $.	2
1542	Find the line that is perpendicular to $ y = - 7 x + 5 $ and passes though the point $ \left(-4,~2\right) $.	2
1543	Find the line that is parallel to $ y = \frac{ 3 }{ 2 } x - 4 $ and passes though the point $ \left(4,~-6\right) $.	2
1544	Find the line that is perpendicular to $ y = \frac{ 3 }{ 2 } x - 4 $ and passes though the point $ \left(4,~-6\right) $.	2
1545	Find the line that is perpendicular to $ y = \frac{ 1 }{ 8 } x - \frac{ 9 }{ 8 } $ and passes though the point $ \left(8,~-9\right) $.	2
1546	Find the line that is perpendicular to $ y = \frac{ 1 }{ 4 } x - \frac{ 9 }{ 4 } $ and passes though the point $ \left(2,~-1\right) $.	2
1547	Find the line that is parallel to $ y = \frac{ 1 }{ 2 } x - 3 $ and passes though the point $ \left(4,~-2\right) $.	2
1548	Find the line that is parallel to $ y = \frac{ 1 }{ 2 } x $ and passes though the point $ \left(0,~0\right) $.	2
1549	Find the line that is parallel to $ y = - \frac{ 4 }{ 5 } x + 4 $ and passes though the point $ \left(0,~0\right) $.	2
1550	Find the line that is perpendicular to $ 8x-3y-9=0 $ and passes though the point $ \left(6,~6\right) $.	2