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.
| ID |
Problem |
Count |
| 4001 | Find the line that is parallel to $ y = - 3 x + 8 $ and passes though the point $ \left(4,~2\right) $. | 1 |
| 4002 | Find the line that is perpendicular to $ y = - 3 x + 8 $ and passes though the point $ \left(4,~2\right) $. | 1 |
| 4003 | Find the line that is perpendicular to $ y = 2 x - 5 $ and passes though the point $ \left(2,~-5\right) $. | 1 |
| 4004 | Find the line that is perpendicular to $ y = x $ and passes though the point $ \left(6,~-3\right) $. | 1 |
| 4005 | Find the line that is parallel to $ x+1=0 $ and passes though the point $ \left(9,~9\right) $. | 1 |
| 4006 | Find the line that is perpendicular to $ y = \frac{ 1 }{ 4 } x - 2 $ and passes though the point $ \left(-4,~5\right) $. | 1 |
| 4007 | Find the line that is parallel to $ y = - \frac{ 2 }{ 5 } x + 7 $ and passes though the point $ \left(0,~0\right) $. | 1 |
| 4008 | Find the line that is perpendicular to $ y = - \frac{ 2 }{ 5 } x + 7 $ and passes though the point $ \left(0,~0\right) $. | 1 |
| 4009 | Find the line that is perpendicular to $ y = 3 $ and passes though the point $ \left(-2,~-4\right) $. | 1 |
| 4010 | Find the line that is perpendicular to $ y = x + 5 $ and passes though the point $ \left(1,~6\right) $. | 1 |
| 4011 | Find the line that is perpendicular to $ y = - 7 x + 37 $ and passes though the point $ \left(\dfrac{ 9 }{ 2 },~\dfrac{ 11 }{ 2 }\right) $. | 1 |
| 4012 | Find the line that is perpendicular to $ y = - \frac{ 1 }{ 7 } x + \frac{ 19 }{ 7 } $ and passes though the point $ \left(\dfrac{ 3 }{ 2 },~\dfrac{ 5 }{ 2 }\right) $. | 1 |
| 4013 | Find the line that is perpendicular to $ y = x + 5 $ and passes though the point $ \left(5,~2\right) $. | 1 |
| 4014 | Find the line that is perpendicular to $ y = - 7 x + 37 $ and passes though the point $ \left(-2,~3\right) $. | 1 |
| 4015 | Find the line that is perpendicular to $ y = - \frac{ 1 }{ 7 } x + \frac{ 19 }{ 7 } $ and passes though the point $ \left(4,~9\right) $. | 1 |
| 4016 | Find the line that is perpendicular to $ y = 2 x + 4 $ and passes though the point $ \left(-4,~1\right) $. | 1 |
| 4017 | Find the line that is parallel to $ y = 2 x + 4 $ and passes though the point $ \left(-4,~1\right) $. | 1 |
| 4018 | Find the line that is parallel to $ y = 6 x - 1 $ and passes though the point $ \left(-3,~4\right) $. | 1 |
| 4019 | Find the line that is parallel to $ y = - \frac{ 1 }{ 3 } x + \frac{ 13 }{ 3 } $ and passes though the point $ \left(0,~0\right) $. | 1 |
| 4020 | Find the line that is parallel to $ y = 0.5 x - 6 $ and passes though the point $ \left(-2,~3\right) $. | 1 |
| 4021 | Find the line that is perpendicular to $ y = - 4 x + 5 $ and passes though the point $ \left(0,~5\right) $. | 1 |
| 4022 | Find the line that is parallel to $ y = - 4 x + 4 $ and passes though the point $ \left(0,~5\right) $. | 1 |
| 4023 | Find the line that is parallel to $ y = - \frac{ 2 }{ 3 } x - 1 $ and passes though the point $ \left(0,~0\right) $. | 1 |
| 4024 | Find the line that is perpendicular to $ y = \frac{ 1 }{ 2 } x + 1 $ and passes though the point $ \left(-2,~3\right) $. | 1 |
| 4025 | Find the line that is perpendicular to $ y = - \frac{ 5 }{ 4 } x + 7 $ and passes though the point $ \left(-4,~1\right) $. | 1 |
| 4026 | Find the line that is parallel to $ y = - \frac{ 2 }{ 3 } x + 6 $ and passes though the point $ \left(6,~4\right) $. | 1 |
| 4027 | Find the line that is perpendicular to $ y = - \frac{ 2 }{ 5 } x $ and passes though the point $ \left(-6,~-3\right) $. | 1 |
| 4028 | Find the line that is perpendicular to $ y = \frac{ 3 }{ 4 } x + 2 $ and passes though the point $ \left(0,~3\right) $. | 1 |
| 4029 | Find the line that is perpendicular to $ y = \frac{ 4 }{ 3 } x - 6 $ and passes though the point $ \left(4,~3\right) $. | 1 |
| 4030 | Find the line that is perpendicular to $ x+3y+6=0 $ and passes though the point $ \left(-5,~4\right) $. | 1 |
| 4031 | Find the line that is parallel to $ y = \frac{ 3 }{ 2 } x + 2 $ and passes though the point $ \left(-4,~-3\right) $. | 1 |
| 4032 | Find the line that is perpendicular to $ y = \frac{ 1 }{ 4 } x + 4 $ and passes though the point $ \left(4,~-2\right) $. | 1 |
| 4033 | Find the line that is parallel to $ y = x - 6 $ and passes though the point $ \left(8,~6\right) $. | 1 |
| 4034 | Find the line that is parallel to $ x+1=0 $ and passes though the point $ \left(-5,~8\right) $. | 1 |
| 4035 | Find the line that is parallel to $ 2x-y+2=0 $ and passes though the point $ \left(-5,~8\right) $. | 1 |
| 4036 | Find the line that is parallel to $ 2x+y+2=0 $ and passes though the point $ \left(-5,~8\right) $. | 1 |
| 4037 | Find the line that is parallel to $ 2x+y-2=0 $ and passes though the point $ \left(-5,~8\right) $. | 1 |
| 4038 | Find the line that is parallel to $ 2x+y-2=0 $ and passes though the point $ \left(6,~0\right) $. | 1 |
| 4039 | Find the line that is parallel to $ y = - x + 1 $ and passes though the point $ \left(6,~0\right) $. | 1 |
| 4040 | Find the line that is parallel to $ y = - x + 1 $ and passes though the point $ \left(2,~9\right) $. | 1 |
| 4041 | Find the line that is parallel to $ y = \frac{ 1 }{ 2 } x - 7 $ and passes though the point $ \left(0,~0\right) $. | 1 |
| 4042 | Find the line that is parallel to $ y = - \frac{ 1 }{ 5 } x - 9 $ and passes though the point $ \left(-6,~-5\right) $. | 1 |
| 4043 | Find the line that is perpendicular to $ y = - \frac{ 1 }{ 5 } x - 9 $ and passes though the point $ \left(-6,~-5\right) $. | 1 |
| 4044 | Find the line that is parallel to $ 3x-2y-8=0 $ and passes though the point $ \left(-8,~3\right) $. | 1 |
| 4045 | Find the line that is perpendicular to $ y = - x - 3 $ and passes though the point $ \left(-6,~0\right) $. | 1 |
| 4046 | Find the line that is perpendicular to $ y = \frac{ 5 }{ 2 } x + 1 $ and passes though the point $ \left(0,~0\right) $. | 1 |
| 4047 | Find the line that is parallel to $ y = \frac{ 1 }{ 2 } x + 1 $ and passes though the point $ \left(6,~-2\right) $. | 1 |
| 4048 | Find the line that is parallel to $ y = 2 x + 9 $ and passes though the point $ \left(-4,~-8\right) $. | 1 |
| 4049 | Find the line that is parallel to $ y = - 3 x + 5 $ and passes though the point $ \left(-9,~-1\right) $. | 1 |
| 4050 | Find the line that is perpendicular to $ y = - 3 x + 5 $ and passes though the point $ \left(-9,~-1\right) $. | 1 |