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
1001	Find the line that is perpendicular to $ y = 4 x + 3 $ and passes though the point $ \left(-2,~4\right) $.	3
1002	Find the line that is parallel to $ y = 7 x - 16 $ and passes though the point $ \left(-3,~8\right) $.	3
1003	Find the line that is parallel to $ y = 3 x + 5 $ and passes though the point $ \left(0,~-2\right) $.	3
1004	Find the line that is perpendicular to $ y = \frac{ 3 }{ 5 } x + 3 $ and passes though the point $ \left(3,~2\right) $.	3
1005	Find the line that is parallel to $ y = - 3 x + 4 $ and passes though the point $ \left(2,~-1\right) $.	3
1006	Find the line that is parallel to $ y = \frac{ 1 }{ 3 } x + 4 $ and passes though the point $ \left(3,~2\right) $.	3
1007	Find the line that is parallel to $ y = - 6 x + 8 $ and passes though the point $ \left(7,~3\right) $.	3
1008	Find the line that is parallel to $ y = \frac{ 5 }{ 4 } x + 6 $ and passes though the point $ \left(7,~10\right) $.	3
1009	Find the line that is perpendicular to $ y = - \frac{ 5 }{ 7 } x + \frac{ 2 }{ 3 } $ and passes though the point $ \left(0,~0\right) $.	3
1010	Find the line that is parallel to $ y = 8 x - 9 $ and passes though the point $ \left(3,~6\right) $.	3
1011	Find the line that is parallel to $ y = - \frac{ 1 }{ 2 } x + 3 $ and passes though the point $ \left(-4,~-3\right) $.	3
1012	Find the line that is perpendicular to $ y = 7 x - 3 $ and passes though the point $ \left(1,~4\right) $.	3
1013	Find the line that is perpendicular to $ y = 3 x + 5 $ and passes though the point $ \left(0,~8\right) $.	3
1014	Find the line that is parallel to $ 3x+4y-12=0 $ and passes though the point $ \left(-4,~7\right) $.	3
1015	Find the line that is perpendicular to $ y = \frac{ 6 }{ 7 } x + 6 $ and passes though the point $ \left(12,~-22\right) $.	3
1016	Find the line that is perpendicular to $ y = \frac{ 1 }{ 5 } x - 3 $ and passes though the point $ \left(-1,~1\right) $.	2
1017	Find the line that is perpendicular to $ y = 4 x $ and passes though the point $ \left(3,~-7\right) $.	2
1018	Find the line that is perpendicular to $ y = \frac{ 4 }{ 7 } x + 6 $ and passes though the point $ \left(-7,~-2\right) $.	2
1019	Find the line that is perpendicular to $ y = 2 x + 3 $ and passes though the point $ \left(-3,~-8\right) $.	2
1020	Find the line that is parallel to $ y = \frac{ 1 }{ 4 } x - 2 $ and passes though the point $ \left(4,~-1\right) $.	2
1021	Find the line that is perpendicular to $ y = 6 x + 2 $ and passes though the point $ \left(3,~-1\right) $.	2
1022	Find the line that is parallel to $ 3x+y+4=0 $ and passes though the point $ \left(0,~0\right) $.	2
1023	Find the line that is perpendicular to $ 3x+y+4=0 $ and passes though the point $ \left(0,~0\right) $.	2
1024	Find the line that is perpendicular to $ y = \frac{ 3 }{ 2 } x + 1 $ and passes though the point $ \left(-8,~-6\right) $.	2
1025	Find the line that is parallel to $ x=0 $ and passes though the point $ \left(2,~5\right) $.	2
1026	Find the line that is parallel to $ y = 7 x + 2 $ and passes though the point $ \left(-2,~-4\right) $.	2
1027	Find the line that is parallel to $ y = - \frac{ 2 }{ 5 } x + 9 $ and passes though the point $ \left(5,~-5\right) $.	2
1028	Find the line that is perpendicular to $ y = - \frac{ 2 }{ 5 } x + 9 $ and passes though the point $ \left(5,~-5\right) $.	2
1029	Find the line that is perpendicular to $ 9x-6y-5=0 $ and passes though the point $ \left(-8,~-3\right) $.	2
1030	Find the line that is parallel to $ 9x-6y-5=0 $ and passes though the point $ \left(-8,~-3\right) $.	2
1031	Find the line that is parallel to $ x+2=0 $ and passes though the point $ \left(0,~-6\right) $.	2
1032	Find the line that is perpendicular to $ y = 4 x - 4 $ and passes though the point $ \left(3,~-4\right) $.	2
1033	Find the line that is perpendicular to $ y = 8 x + 8 $ and passes though the point $ \left(6,~15\right) $.	2
1034	Find the line that is parallel to $ y = \frac{ 1 }{ 2 } x + \frac{ 5 }{ 2 } $ and passes though the point $ \left(3,~-1\right) $.	2
1035	Find the line that is perpendicular to $ y = 4 x - 12 $ and passes though the point $ \left(2,~4\right) $.	2
1036	Find the line that is parallel to $ y = \frac{ 2 }{ 3 } x - 1 $ and passes though the point $ \left(-3,~4\right) $.	2
1037	Find the line that is parallel to $ y = \frac{ 5 }{ 4 } x - \frac{ 1 }{ 4 } $ and passes though the point $ \left(-8,~2\right) $.	2
1038	Find the line that is parallel to $ 4x+y-7=0 $ and passes though the point $ \left(-4,~-3\right) $.	2
1039	Find the line that is parallel to $ x-6y-2=0 $ and passes though the point $ \left(2,~4\right) $.	2
1040	Find the line that is parallel to $ 4x-7y-6=0 $ and passes though the point $ \left(-4,~1\right) $.	2
1041	Find the line that is perpendicular to $ 4x-7y-6=0 $ and passes though the point $ \left(-4,~1\right) $.	2
1042	Find the line that is perpendicular to $ 4x+y-7=0 $ and passes though the point $ \left(-4,~-3\right) $.	2
1043	Find the line that is perpendicular to $ x-6y-2=0 $ and passes though the point $ \left(2,~4\right) $.	2
1044	Find the line that is perpendicular to $ y = x $ and passes though the point $ \left(5,~5\right) $.	2
1045	Find the line that is perpendicular to $ y = - \frac{ 5 }{ 3 } x + 13 $ and passes though the point $ \left(10,~9\right) $.	2
1046	Find the line that is parallel to $ 5x-4y+12=0 $ and passes though the point $ \left(4,~0\right) $.	2
1047	Find the line that is parallel to $ y = - 4 x - 3 $ and passes though the point $ \left(1,~-3\right) $.	2
1048	Find the line that is parallel to $ y = \frac{ 3 }{ 5 } x - 7 $ and passes though the point $ \left(0,~0\right) $.	2
1049	Find the line that is parallel to $ y = - \frac{ 3 }{ 5 } x + 4 $ and passes though the point $ \left(3,~-2\right) $.	2
1050	Find the line that is perpendicular to $ y = x $ and passes though the point $ \left(-5,~1\right) $.	2