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.

Select category

ID	Problem	Count
1451	Find the line that is parallel to $ y = 5 x - 3 $ and passes though the point $ \left(0,~4\right) $.	2
1452	Find the line that is perpendicular to $ y = 3 x - 8 $ and passes though the point $ \left(-3,~-9\right) $.	2
1453	Find the line that is perpendicular to $ y = - \frac{ 1 }{ 2 } x + 1 $ and passes though the point $ \left(-3,~1\right) $.	2
1454	Find the line that is parallel to $ y = 11 x - 6 $ and passes though the point $ \left(8,~4\right) $.	2
1455	Find the line that is perpendicular to $ y = - x + 4 $ and passes though the point $ \left(-2,~3\right) $.	2
1456	Find the line that is parallel to $ y = \frac{ 5 }{ 6 } x - 6 $ and passes though the point $ \left(0,~0\right) $.	2
1457	Find the line that is perpendicular to $ y = 2 x - 7 $ and passes though the point $ \left(-3,~6\right) $.	2
1458	Find the line that is parallel to $ y = 2 x - 4 $ and passes though the point $ \left(-3,~1\right) $.	2
1459	Find the line that is perpendicular to $ y = x $ and passes though the point $ \left(3,~-4\right) $.	2
1460	Find the line that is perpendicular to $ y = 2 x + 6 $ and passes though the point $ \left(3,~-4\right) $.	2
1461	Find the line that is perpendicular to $ y = \frac{ 2 }{ 5 } x + \frac{ 7 }{ 5 } $ and passes though the point $ \left(6,~-2\right) $.	2
1462	Find the line that is parallel to $ y = 3 x + 9 $ and passes though the point $ \left(-10,~-5\right) $.	2
1463	Find the line that is parallel to $ y = 2 x + 10 $ and passes though the point $ \left(-1,~-3\right) $.	2
1464	Find the line that is perpendicular to $ y = - 3 x $ and passes though the point $ \left(1,~-3\right) $.	2
1465	Find the line that is perpendicular to $ x-7y+3=0 $ and passes though the point $ \left(0,~2\right) $.	2
1466	Find the line that is parallel to $ y = - 8 x + 2 $ and passes though the point $ \left(-3,~4\right) $.	2
1467	Find the line that is parallel to $ 7x+2y+1=0 $ and passes though the point $ \left(0,~0\right) $.	2
1468	Find the line that is perpendicular to $ y = - \frac{ 4 }{ 7 } x + 8 $ and passes though the point $ \left(9,~-4\right) $.	2
1469	Find the line that is parallel to $ y = - \frac{ 3 }{ 7 } x - 6 $ and passes though the point $ \left(6,~-3\right) $.	2
1470	Find the line that is perpendicular to $ y = 8 x - 3 $ and passes though the point $ \left(3,~3\right) $.	2
1471	Find the line that is perpendicular to $ y = \frac{ 2 }{ 3 } x - 6 $ and passes though the point $ \left(3,~-2\right) $.	2
1472	Find the line that is parallel to $ y = - \frac{ 2 }{ 5 } x + 6 $ and passes though the point $ \left(-4,~2\right) $.	2
1473	Find the line that is perpendicular to $ y = - \frac{ 2 }{ 5 } x + 6 $ and passes though the point $ \left(-4,~2\right) $.	2
1474	Find the line that is perpendicular to $ y = 2 x - 1 $ and passes though the point $ \left(7,~3\right) $.	2
1475	Find the line that is perpendicular to $ y = - \frac{ 3 }{ 5 } x + \frac{ 8 }{ 5 } $ and passes though the point $ \left(-2,~4\right) $.	2
1476	Find the line that is perpendicular to $ y = \frac{ 3 }{ 5 } x - \frac{ 9 }{ 5 } $ and passes though the point $ \left(3,~0\right) $.	2
1477	Find the line that is parallel to $ y = \frac{ 2 }{ 7 } x + \frac{ 4 }{ 7 } $ and passes though the point $ \left(-2,~-5\right) $.	2
1478	Find the line that is parallel to $ y = 3 x + 6 $ and passes though the point $ \left(4,~4\right) $.	2
1479	Find the line that is parallel to $ y = \frac{ 3 }{ 2 } x + 3 $ and passes though the point $ \left(4,~4\right) $.	2
1480	Find the line that is perpendicular to $ y = - \frac{ 3 }{ 2 } x + 3 $ and passes though the point $ \left(4,~4\right) $.	2
1481	Find the line that is perpendicular to $ y = - x + 9 $ and passes though the point $ \left(-3,~-1\right) $.	2
1482	Find the line that is perpendicular to $ y = \frac{ 3 }{ 4 } x - 6 $ and passes though the point $ \left(6,~10\right) $.	2
1483	Find the line that is perpendicular to $ y = - 2 x - 1 $ and passes though the point $ \left(4,~4\right) $.	2
1484	Find the line that is perpendicular to $ y = \frac{ 1 }{ 2 } x + 9 $ and passes though the point $ \left(-12,~14\right) $.	2
1485	Find the line that is perpendicular to $ 2x+3y=0 $ and passes though the point $ \left(12,~9\right) $.	2
1486	Find the line that is parallel to $ 3x+4y=0 $ and passes though the point $ \left(8,~2\right) $.	2
1487	Find the line that is perpendicular to $ y = x $ and passes though the point $ \left(4,~-2\right) $.	2
1488	Find the line that is parallel to $ x+6y-5=0 $ and passes though the point $ \left(2,~4\right) $.	2
1489	Find the line that is parallel to $ 5x-2y-12=0 $ and passes though the point $ \left(-4,~-3\right) $.	2
1490	Find the line that is perpendicular to $ y = \frac{ 5 }{ 4 } x $ and passes though the point $ \left(0,~0\right) $.	2
1491	Find the line that is perpendicular to $ y = \frac{ 1 }{ 4 } x - \frac{ 1 }{ 3 } $ and passes though the point $ \left(0,~0\right) $.	2
1492	Find the line that is perpendicular to $ y = - 2 x $ and passes though the point $ \left(3,~-6\right) $.	2
1493	Find the line that is perpendicular to $ y = \frac{ 3 }{ 4 } x + 6 $ and passes though the point $ \left(-4,~1\right) $.	2
1494	Find the line that is perpendicular to $ y = 3 x $ and passes though the point $ \left(2,~6\right) $.	2
1495	Find the line that is perpendicular to $ y = - 2 x + 8 $ and passes though the point $ \left(6,~-2\right) $.	2
1496	Find the line that is perpendicular to $ y = 7 x + 1 $ and passes though the point $ \left(5,~8\right) $.	2
1497	Find the line that is parallel to $ y = 3 x - 4 $ and passes though the point $ \left(1,~5\right) $.	2
1498	Find the line that is perpendicular to $ y = - \frac{ 1 }{ 3 } x - \frac{ 5 }{ 2 } $ and passes though the point $ \left(3,~-3\right) $.	2
1499	Find the line that is parallel to $ y = - \frac{ 1 }{ 3 } x - \frac{ 5 }{ 2 } $ and passes though the point $ \left(3,~-3\right) $.	2
1500	Find the line that is parallel to $ x+3y=0 $ and passes though the point $ \left(\dfrac{ 7 }{ 8 },~\dfrac{ 4 }{ 7 }\right) $.	2