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 |
| 1 | Find the line that is parallel to $ y = 0 $ and passes though the point $ \left(0,~0\right) $. | 1521 |
| 2 | Find the line that is perpendicular to $ y = - \frac{ 8 }{ 3 } x + 5 $ and passes though the point $ A=\left(3,~5\right) $. | 191 |
| 3 | Find the line that is perpendicular to $ y = x - 0.3333 $ and passes though the point $ A=\left(0,~0\right) $. | 184 |
| 4 | Find the line that is perpendicular to $ y = -7 $ and passes though the point $ A=\left(7,~5\right) $. | 121 |
| 5 | Find the line that is perpendicular to $ y = x $ and passes though the point $ A=\left(0,~0\right) $. | 68 |
| 6 | Find the line that is perpendicular to $ y = 7 x - 5 $ and passes though the point $ A=\left(8,~-4\right) $. | 64 |
| 7 | Find the line that is parallel to $ 3x-5y-30=0 $ and passes though the point $ A=\left(5,~-3\right) $. | 59 |
| 8 | Find the line that is parallel to $ y = - \frac{ 3 }{ 7 } x - 8 $ and passes though the point $ A=\left(-7,~4\right) $. | 51 |
| 9 | Find the line that is parallel to $ y = 45 x $ and passes though the point $ A=\left(0,~0\right) $. | 50 |
| 10 | Find the line that is perpendicular to $ y = \frac{ 1 }{ 2 } x + 3 $ and passes though the point $ A=\left(5,~-4\right) $. | 45 |
| 11 | Find the line that is parallel to $ y = \frac{ 1 }{ 5 } x - 3 $ and passes though the point $ A=\left(-1,~1\right) $. | 44 |
| 12 | Find the line that is perpendicular to $ y = - \frac{ 9 }{ 8 } x - 9 $ and passes though the point $ A=\left(-8,~-3\right) $. | 42 |
| 13 | Find the line that is parallel to $ y = \frac{ 3 }{ 5 } x + \frac{ 4 }{ 5 } $ and passes though the point $ A=\left(1,~-1\right) $. | 41 |
| 14 | Find the line that is perpendicular to $ y = \frac{ 9 }{ 5 } x - 2 $ and passes though the point $ A=\left(5,~-3\right) $. | 39 |
| 15 | Find the line that is perpendicular to $ y = - 4 x + 9 $ and passes though the point $ A=\left(4,~6\right) $. | 37 |
| 16 | Find the line that is perpendicular to $ y = 8 x + 7 $ and passes though the point $ A=\left(-8,~-2\right) $. | 35 |
| 17 | Find the line that is parallel to $ y = - \frac{ 8 }{ 7 } x - 3 $ and passes though the point $ A=\left(8,~3\right) $. | 35 |
| 18 | Find the line that is parallel to $ y = - \frac{ 1 }{ 5 } x + 9 $ and passes though the point $ A=\left(-10,~1\right) $. | 35 |
| 19 | Find the line that is perpendicular to $ y = - \frac{ 3 }{ 7 } x - 1 $ and passes though the point $ A=\left(6,~-1\right) $. | 34 |
| 20 | Find the line that is parallel to $ y = 3 x + 6 $ and passes though the point $ A=\left(4,~7\right) $. | 34 |
| 21 | Find the line that is perpendicular to $ y = - 2 x + 5 $ and passes though the point $ A=\left(6,~-5\right) $. | 34 |
| 22 | Find the line that is perpendicular to $ y = - \frac{ 8 }{ 3 } x + 5 $ and passes though the point $ \left(3,~5\right) $. | 34 |
| 23 | Find the line that is parallel to $ y = - \frac{ 7 }{ 4 } x + 2 $ and passes though the point $ A=\left(6,~-7\right) $. | 33 |
| 24 | Find the line that is parallel to $ y = 3 x - 6 $ and passes though the point $ A=\left(-5,~4\right) $. | 31 |
| 25 | Find the line that is perpendicular to $ y = 4 x + 2 $ and passes though the point $ \left(9,~6\right) $. | 31 |
| 26 | Find the line that is parallel to $ y = - 2 x + 10 $ and passes though the point $ A=\left(-1,~2\right) $. | 31 |
| 27 | Find the line that is parallel to $ y = - \frac{ 1 }{ 5 } x + 9 $ and passes though the point $ \left(-10,~1\right) $. | 31 |
| 28 | Find the line that is perpendicular to $ y = - x - 6 $ and passes though the point $ A=\left(-9,~-4\right) $. | 30 |
| 29 | Find the line that is parallel to $ y = - \frac{ 1 }{ 3 } x - 8 $ and passes though the point $ A=\left(-10,~6\right) $. | 29 |
| 30 | Find the line that is parallel to $ y = \frac{ 1 }{ 4 } x - \frac{ 17 }{ 4 } $ and passes though the point $ A=\left(5,~-3\right) $. | 29 |
| 31 | Find the line that is parallel to $ y = \frac{ 7 }{ 2 } x + 6 $ and passes though the point $ A=\left(-2,~-3\right) $. | 29 |
| 32 | Find the line that is perpendicular to $ y = 3 $ and passes though the point $ A=\left(-2,~-4\right) $. | 29 |
| 33 | Find the line that is perpendicular to $ y = - 5 x + 6 $ and passes though the point $ A=\left(-1,~-2\right) $. | 28 |
| 34 | Find the line that is perpendicular to $ y = - \frac{ 2 }{ 3 } x + \frac{ 2 }{ 3 } $ and passes though the point $ \left(-5,~4\right) $. | 28 |
| 35 | Find the line that is parallel to $ y = x - 4 $ and passes though the point $ \left(0,~0\right) $. | 27 |
| 36 | Find the line that is parallel to $ y = \frac{ 3 }{ 10 } x + 8 $ and passes though the point $ A=\left(-7,~-2\right) $. | 27 |
| 37 | Find the line that is perpendicular to $ y = - \frac{ 9 }{ 7 } x - 5 $ and passes though the point $ A=\left(9,~6\right) $. | 27 |
| 38 | Find the line that is parallel to $ y = - \frac{ 5 }{ 3 } x - 2 $ and passes though the point $ A=\left(-6,~-5\right) $. | 27 |
| 39 | Find the line that is perpendicular to $ y = 1.1111 x + 1 $ and passes though the point $ A=\left(-3,~3\right) $. | 26 |
| 40 | Find the line that is parallel to $ y = - \frac{ 5 }{ 4 } x - 6 $ and passes though the point $ A=\left(5,~-8\right) $. | 26 |
| 41 | Find the line that is perpendicular to $ y = \frac{ 2 }{ 3 } x + 4 $ and passes though the point $ A=\left(-4,~1\right) $. | 26 |
| 42 | Find the line that is parallel to $ 5x+9y-6=0 $ and passes though the point $ A=\left(-2,~-4\right) $. | 26 |
| 43 | Find the line that is perpendicular to $ y = - \frac{ 2 }{ 5 } x + 10 $ and passes though the point $ A=\left(1,~7\right) $. | 26 |
| 44 | Find the line that is parallel to $ y = 2 x - 4 $ and passes though the point $ A=\left(0,~0\right) $. | 25 |
| 45 | Find the line that is perpendicular to $ y = \frac{ 1 }{ 8 } x + 10 $ and passes though the point $ A=\left(-1,~1\right) $. | 25 |
| 46 | Find the line that is perpendicular to $ y = \frac{ 1 }{ 2 } x + 8 $ and passes though the point $ A=\left(2,~-7\right) $. | 25 |
| 47 | Find the line that is parallel to $ y = - 4 x + 3 $ and passes though the point $ A=\left(0,~0\right) $. | 24 |
| 48 | Find the line that is perpendicular to $ y = - \frac{ 5 }{ 7 } x - 10 $ and passes though the point $ A=\left(-9,~5\right) $. | 24 |
| 49 | Find the line that is perpendicular to $ y = - 4 x + 1 $ and passes though the point $ A=\left(-6,~1\right) $. | 24 |
| 50 | Find the line that is parallel to $ y = 2 x + 3 $ and passes though the point $ \left(-2,~-1\right) $. | 24 |
