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 perpendicular to $ y = - \frac{ 1 }{ 2 } x - 4 $ and passes though the point $ \left(5,~3\right) $. | 1 |
| 4002 | Find the line that is parallel to $ y = \frac{ 7 }{ 4 } x - 3 $ and passes though the point $ \left(-1,~-3\right) $. | 1 |
| 4003 | Find the line that is perpendicular to $ y = 8 x + 9 $ and passes though the point $ \left(8,~9\right) $. | 1 |
| 4004 | Find the line that is perpendicular to $ y = \frac{ 1 }{ 2 } x - 5 $ and passes though the point $ \left(0,~-1\right) $. | 1 |
| 4005 | Find the line that is parallel to $ y = - x + 3 $ and passes though the point $ \left(1,~-1\right) $. | 1 |
| 4006 | Find the line that is perpendicular to $ y = \frac{ 2 }{ 3 } x + 1 $ and passes though the point $ \left(1,~3\right) $. | 1 |
| 4007 | Find the line that is parallel to $ y = 9 x + 4 $ and passes though the point $ \left(2,~10\right) $. | 1 |
| 4008 | Find the line that is parallel to $ y = 5 x - 9 $ and passes though the point $ \left(-4,~5\right) $. | 1 |
| 4009 | Find the line that is perpendicular to $ y = 3 x - 7 $ and passes though the point $ \left(1,~2\right) $. | 1 |
| 4010 | Find the line that is parallel to $ y = \frac{ 8 }{ 3 } x $ and passes though the point $ \left(4,~-2\right) $. | 1 |
| 4011 | Find the line that is perpendicular to $ y = - \frac{ 1 }{ 4 } x + \frac{ 17 }{ 4 } $ and passes though the point $ \left(5,~3\right) $. | 1 |
| 4012 | Find the line that is perpendicular to $ y = - \frac{ 1 }{ 4 } x + \frac{ 17 }{ 4 } $ and passes though the point $ \left(-7,~6\right) $. | 1 |
| 4013 | Find the line that is perpendicular to $ y = - \frac{ 1 }{ 4 } x + \frac{ 17 }{ 4 } $ and passes though the point $ \left(0,~0\right) $. | 1 |
| 4014 | Find the line that is perpendicular to $ y = 3 $ and passes though the point $ \left(-2,~-8\right) $. | 1 |
| 4015 | Find the line that is perpendicular to $ y = \frac{ 4 }{ 5 } x + 23 $ and passes though the point $ \left(-40,~20\right) $. | 1 |
| 4016 | Find the line that is perpendicular to $ y = - \frac{ 1 }{ 5 } x + 9 $ and passes though the point $ \left(-2,~2\right) $. | 1 |
| 4017 | Find the line that is perpendicular to $ y = 2 x + 4 $ and passes though the point $ \left(4,~-1\right) $. | 1 |
| 4018 | Find the line that is perpendicular to $ y = 3 x + 5 $ and passes though the point $ \left(\dfrac{ 3 }{ 4 },~4\right) $. | 1 |
| 4019 | Find the line that is perpendicular to $ y = x + 3 $ and passes though the point $ \left(1,~2\right) $. | 1 |
| 4020 | Find the line that is perpendicular to $ y = x - 3 $ and passes though the point $ \left(1,~2\right) $. | 1 |
| 4021 | Find the line that is perpendicular to $ y = \frac{ 1 }{ 7 } x - 7 $ and passes though the point $ \left(-7,~4\right) $. | 1 |
| 4022 | Find the line that is perpendicular to $ y = \frac{ 5 }{ 7 } x + \frac{ 6 }{ 7 } $ and passes though the point $ \left(6,~-2\right) $. | 1 |
| 4023 | Find the line that is parallel to $ y = \frac{ 5 }{ 4 } x + 8 $ and passes though the point $ \left(-4,~-6\right) $. | 1 |
| 4024 | Find the line that is perpendicular to $ y = \frac{ 5 }{ 4 } x + 8 $ and passes though the point $ \left(-4,~-6\right) $. | 1 |
| 4025 | Find the line that is perpendicular to $ y = 5 x - 6 $ and passes though the point $ \left(-3,~5\right) $. | 1 |
| 4026 | Find the line that is parallel to $ y = 5 x - 6 $ and passes though the point $ \left(-3,~5\right) $. | 1 |
| 4027 | Find the line that is perpendicular to $ y = \frac{ 1 }{ 4 } x + 5 $ and passes though the point $ \left(5,~-3\right) $. | 1 |
| 4028 | Find the line that is perpendicular to $ y = x + 1 $ and passes though the point $ \left(4,~4\right) $. | 1 |
| 4029 | Find the line that is perpendicular to $ y = - x + 4 $ and passes though the point $ \left(2,~4\right) $. | 1 |
| 4030 | Find the line that is parallel to $ x+y=0 $ and passes though the point $ \left(6,~4\right) $. | 1 |
| 4031 | Find the line that is parallel to $ y = - 6 x + 2 $ and passes though the point $ \left(-2,~-1\right) $. | 1 |
| 4032 | Find the line that is parallel to $ y = \frac{ 1 }{ 3 } x + \frac{ 32 }{ 3 } $ and passes though the point $ \left(-4,~-3\right) $. | 1 |
| 4033 | Find the line that is perpendicular to $ y = 8 x + 4 $ and passes though the point $ \left(4,~-1\right) $. | 1 |
| 4034 | Find the line that is perpendicular to $ y = 5 x + 5 $ and passes though the point $ \left(5,~3\right) $. | 1 |
| 4035 | Find the line that is perpendicular to $ y = \frac{ 1 }{ 3 } x + 3 $ and passes though the point $ \left(-4,~3\right) $. | 1 |
| 4036 | Find the line that is perpendicular to $ y = - 6 x - \frac{ 26 }{ 3 } $ and passes though the point $ \left(2,~-4\right) $. | 1 |
| 4037 | Find the line that is parallel to $ y = - 7 x + 41 $ and passes though the point $ \left(5,~6\right) $. | 1 |
| 4038 | Find the line that is perpendicular to $ y = - 2 x + 2 $ and passes though the point $ \left(1,~2\right) $. | 1 |
| 4039 | Find the line that is parallel to $ y = - 4 x + 3 $ and passes though the point $ \left(1,~1\right) $. | 1 |
| 4040 | Find the line that is perpendicular to $ y = - 4 x + 3 $ and passes though the point $ \left(1,~1\right) $. | 1 |
| 4041 | Find the line that is perpendicular to $ y = - 6 x - 4 $ and passes though the point $ \left(-1,~4\right) $. | 1 |
| 4042 | Find the line that is perpendicular to $ y = 4 x + 5 $ and passes though the point $ \left(4,~16\right) $. | 1 |
| 4043 | Find the line that is perpendicular to $ y = - \frac{ 1 }{ 2 } x + 4 $ and passes though the point $ \left(2,~3\right) $. | 1 |
| 4044 | Find the line that is perpendicular to $ y = - \frac{ 3 }{ 2 } x + 4 $ and passes though the point $ \left(6,~-2\right) $. | 1 |
| 4045 | Find the line that is perpendicular to $ y = \frac{ 1 }{ 2 } x + 3 $ and passes though the point $ \left(3,~6\right) $. | 1 |
| 4046 | Find the line that is parallel to $ y = \frac{ 4 }{ 3 } x - 1 $ and passes though the point $ \left(-3,~-6\right) $. | 1 |
| 4047 | Find the line that is perpendicular to $ y = 6 x + 28 $ and passes though the point $ \left(4,~-27\right) $. | 1 |
| 4048 | Find the line that is parallel to $ y = 6 x + 28 $ and passes though the point $ \left(4,~-27\right) $. | 1 |
| 4049 | Find the line that is parallel to $ y = - 6 x + 4 $ and passes though the point $ \left(4,~-27\right) $. | 1 |
| 4050 | Find the line that is parallel to $ y = - 3 x - 4 $ and passes though the point $ \left(2,~-3\right) $. | 1 |