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 |
| 51 | Find the line that is parallel to $ y = 2 x + 3 $ and passes though the point $ \left(-2,~-1\right) $. | 24 |
| 52 | Find the line that is parallel to $ y = 6 x + 2 $ and passes though the point $ \left(3,~-1\right) $. | 23 |
| 53 | Find the line that is parallel to $ y = \frac{ 1 }{ 2 } x - 3 $ and passes though the point $ A=\left(-6,~1\right) $. | 23 |
| 54 | Find the line that is parallel to $ y = - \frac{ 2 }{ 5 } x + 4 $ and passes though the point $ A=\left(-3,~2\right) $. | 23 |
| 55 | Find the line that is parallel to $ y = - 2 x + 1 $ and passes though the point $ \left(0,~3\right) $. | 22 |
| 56 | Find the line that is perpendicular to $ y = 3 x + 5 $ and passes though the point $ A=\left(0,~0\right) $. | 22 |
| 57 | Find the line that is parallel to $ y = 8 x + 2 $ and passes though the point $ A=\left(-1,~-2\right) $. | 22 |
| 58 | Find the line that is perpendicular to $ y = 10 x - 8 $ and passes though the point $ A=\left(-10,~-6\right) $. | 22 |
| 59 | Find the line that is parallel to $ y = 8 x - 9 $ and passes though the point $ A=\left(-3,~2\right) $. | 21 |
| 60 | Find the line that is perpendicular to $ y = - \frac{ 5 }{ 7 } x - 5 $ and passes though the point $ A=\left(5,~-5\right) $. | 21 |
| 61 | Find the line that is perpendicular to $ y = \frac{ 1 }{ 4 } x - 2 $ and passes though the point $ A=\left(4,~-1\right) $. | 21 |
| 62 | Find the line that is parallel to $ y = - \frac{ 1 }{ 2 } x + 5 $ and passes though the point $ A=\left(-10,~-4\right) $. | 21 |
| 63 | Find the line that is parallel to $ y = - 4 x - \frac{ 5 }{ 3 } $ and passes though the point $ A=\left(-3,~3\right) $. | 21 |
| 64 | Find the line that is parallel to $ y = - \frac{ 3 }{ 4 } x - 3 $ and passes though the point $ A=\left(-2,~-2\right) $. | 21 |
| 65 | Find the line that is perpendicular to $ y = 6 x + 3 $ and passes though the point $ A=\left(12,~-4\right) $. | 20 |
| 66 | Find the line that is perpendicular to $ y = - 8 x + 6 $ and passes though the point $ A=\left(2,~-2\right) $. | 19 |
| 67 | Find the line that is perpendicular to $ y = - 9 x + 10 $ and passes though the point $ A=\left(-2,~-1\right) $. | 19 |
| 68 | Find the line that is parallel to $ y = 5 x + 3 $ and passes though the point $ \left(-1,~6\right) $. | 19 |
| 69 | Find the line that is perpendicular to $ y = - x - 1 $ and passes though the point $ A=\left(-1,~-2\right) $. | 19 |
| 70 | Find the line that is parallel to $ x+1=0 $ and passes though the point $ A=\left(9,~9\right) $. | 19 |
| 71 | Find the line that is perpendicular to $ y = - \frac{ 1 }{ 2 } x + 1 $ and passes though the point $ A=\left(-1,~-6\right) $. | 19 |
| 72 | Find the line that is perpendicular to $ y = \frac{ 3 }{ 4 } x - 2 $ and passes though the point $ A=\left(6,~-3\right) $. | 19 |
| 73 | Find the line that is perpendicular to $ y = - \frac{ 9 }{ 4 } x + 1 $ and passes though the point $ A=\left(-3,~2\right) $. | 19 |
| 74 | Find the line that is perpendicular to $ y = - \frac{ 1 }{ 5 } x - 3 $ and passes though the point $ A=\left(1,~-5\right) $. | 18 |
| 75 | Find the line that is parallel to $ y = \frac{ 10 }{ 3 } x + 9 $ and passes though the point $ \left(-3,~-2\right) $. | 18 |
| 76 | Find the line that is perpendicular to $ y = \frac{ 6 }{ 7 } x + 1 $ and passes though the point $ A=\left(7,~-7\right) $. | 18 |
| 77 | Find the line that is perpendicular to $ y = 2 x + 5 $ and passes though the point $ A=\left(0,~5\right) $. | 18 |
| 78 | Find the line that is parallel to $ y = - 0.2222 x + 6 $ and passes though the point $ A=\left(3,~2\right) $. | 17 |
| 79 | Find the line that is parallel to $ y = - 2 x + 5 $ and passes though the point $ A=\left(0,~0\right) $. | 17 |
| 80 | Find the line that is parallel to $ y = 3 x - 4 $ and passes though the point $ A=\left(4,~-4\right) $. | 17 |
| 81 | Find the line that is parallel to $ y = \frac{ 3 }{ 4 } x + 3 $ and passes though the point $ A=\left(-4,~-4\right) $. | 17 |
| 82 | Find the line that is parallel to $ y = - 6 x - 3 $ and passes though the point $ A=\left(3,~-3\right) $. | 17 |
| 83 | Find the line that is parallel to $ y = x $ and passes though the point $ A=\left(1,~0\right) $. | 17 |
| 84 | Find the line that is parallel to $ y = 2 x + \frac{ 8 }{ 9 } $ and passes though the point $ A=\left(7,~9\right) $. | 16 |
| 85 | Find the line that is perpendicular to $ y = - \frac{ 1 }{ 3 } x + 1 $ and passes though the point $ \left(6,~-1\right) $. | 16 |
| 86 | Find the line that is perpendicular to $ y = - \frac{ 5 }{ 8 } x - 5 $ and passes though the point $ A=\left(5,~-4\right) $. | 16 |
| 87 | Find the line that is parallel to $ y = \frac{ 1 }{ 2 } x - 2 $ and passes though the point $ A=\left(-4,~-1\right) $. | 16 |
| 88 | Find the line that is parallel to $ y = -7 $ and passes though the point $ A=\left(7,~5\right) $. | 16 |
| 89 | Find the line that is parallel to $ y = - \frac{ 9 }{ 7 } x + \frac{ 10 }{ 7 } $ and passes though the point $ \left(-4,~4\right) $. | 16 |
| 90 | Find the line that is parallel to $ y = - x - 10 $ and passes though the point $ A=\left(-2,~-1\right) $. | 16 |
| 91 | Find the line that is parallel to $ y = - 3 x - 9 $ and passes though the point $ A=\left(6,~-3\right) $. | 16 |
| 92 | Find the line that is perpendicular to $ y = \frac{ 1 }{ 6 } x + 7 $ and passes though the point $ \left(2,~6\right) $. | 15 |
| 93 | Find the line that is perpendicular to $ y = - 4 x + 3 $ and passes though the point $ A=\left(5,~6\right) $. | 15 |
| 94 | Find the line that is perpendicular to $ y = - 2 x + 3 $ and passes though the point $ A=\left(-18,~-29\right) $. | 15 |
| 95 | Find the line that is parallel to $ y = 0.1667 x - 5 $ and passes though the point $ A=\left(6,~2\right) $. | 15 |
| 96 | Find the line that is perpendicular to $ y = x $ and passes though the point $ \left(0,~0\right) $. | 15 |
| 97 | Find the line that is parallel to $ y = - \frac{ 5 }{ 7 } x - 10 $ and passes though the point $ A=\left(-9,~5\right) $. | 15 |
| 98 | Find the line that is parallel to $ y = 2 x + 5 $ and passes though the point $ A=\left(0,~0\right) $. | 14 |
| 99 | Find the line that is parallel to $ y = - \frac{ 7 }{ 6 } x + \frac{ 71 }{ 6 } $ and passes though the point $ A=\left(5,~-7\right) $. | 14 |
| 100 | Find the line that is parallel to $ y = - \frac{ 7 }{ 10 } x - 1 $ and passes though the point $ A=\left(-6,~5\right) $. | 14 |