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 |
| 101 | Find the line that is parallel to $ y = - 6 x - 1 $ and passes though the point $ \left(2,~-3\right) $. | 14 |
| 102 | Find the line that is parallel to $ y = - \frac{ 1 }{ 7 } x - 2 $ and passes though the point $ A=\left(7,~6\right) $. | 14 |
| 103 | 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 |
| 104 | Find the line that is parallel to $ 6x+9y+1=0 $ and passes though the point $ A=\left(4,~1\right) $. | 14 |
| 105 | Find the line that is parallel to $ y = - \frac{ 7 }{ 10 } x - 1 $ and passes though the point $ A=\left(-6,~5\right) $. | 14 |
| 106 | Find the line that is parallel to $ y = - \frac{ 1 }{ 8 } x - 8 $ and passes though the point $ A=\left(8,~5\right) $. | 14 |
| 107 | Find the line that is parallel to $ y = 5 x - 3 $ and passes though the point $ A=\left(-3,~-6\right) $. | 14 |
| 108 | Find the line that is parallel to $ y = \frac{ 1 }{ 2 } x - 10 $ and passes though the point $ A=\left(-8,~3\right) $. | 13 |
| 109 | Find the line that is parallel to $ y = \frac{ 8 }{ 9 } x + 2 $ and passes though the point $ A=\left(9,~4\right) $. | 13 |
| 110 | Find the line that is perpendicular to $ y = - 2 x + 5 $ and passes though the point $ A=\left(-4,~2\right) $. | 13 |
| 111 | Find the line that is parallel to $ 3x+2y+6=0 $ and passes though the point $ \left(0,~0\right) $. | 13 |
| 112 | Find the line that is parallel to $ y = - 10 x + \frac{ 5 }{ 4 } $ and passes though the point $ A=\left(-1,~3\right) $. | 13 |
| 113 | Find the line that is parallel to $ y = 2 x + 2 $ and passes though the point $ \left(3,~-1\right) $. | 13 |
| 114 | Find the line that is parallel to $ y = 6 x - 7 $ and passes though the point $ A=\left(1,~1\right) $. | 13 |
| 115 | Find the line that is perpendicular to $ y = \frac{ 4 }{ 3 } x - 2 $ and passes though the point $ A=\left(-2,~2\right) $. | 13 |
| 116 | Find the line that is perpendicular to $ y = x $ and passes though the point $ \left(0,~0\right) $. | 13 |
| 117 | Find the line that is perpendicular to $ y = 9 x + 1 $ and passes though the point $ A=\left(3,~-2\right) $. | 13 |
| 118 | Find the line that is perpendicular to $ y = \frac{ 7 }{ 4 } x + 2 $ and passes though the point $ A=\left(2,~-2\right) $. | 13 |
| 119 | Find the line that is parallel to $ 2x+y-2=0 $ and passes though the point $ A=\left(3,~1\right) $. | 13 |
| 120 | Find the line that is perpendicular to $ y = - 8 x + 2 $ and passes though the point $ \left(-4,~1\right) $. | 13 |
| 121 | Find the line that is parallel to $ y = - 2 x + 1 $ and passes though the point $ \left(4,~1\right) $. | 13 |
| 122 | Find the line that is parallel to $ y = 3 x + 8 $ and passes though the point $ A=\left(-3,~7\right) $. | 13 |
| 123 | Find the line that is perpendicular to $ y = - 2 x + 1 $ and passes though the point $ \left(8,~2\right) $. | 13 |
| 124 | Find the line that is parallel to $ y = - \frac{ 9 }{ 8 } x - 9 $ and passes though the point $ A=\left(-8,~-3\right) $. | 12 |
| 125 | Find the line that is perpendicular to $ y = - \frac{ 8 }{ 7 } x - 3 $ and passes though the point $ A=\left(8,~3\right) $. | 12 |
| 126 | Find the line that is parallel to $ y = - 4 x + 3 $ and passes though the point $ A=\left(5,~6\right) $. | 12 |
| 127 | Find the line that is parallel to $ x+2=0 $ and passes though the point $ A=\left(0,~-6\right) $. | 12 |
| 128 | Find the line that is perpendicular to $ y = \frac{ 3 }{ 4 } x - 4 $ and passes though the point $ \left(-3,~5\right) $. | 12 |
| 129 | Find the line that is perpendicular to $ y = - \frac{ 1 }{ 9 } x - 4 $ and passes though the point $ A=\left(1,~7\right) $. | 12 |
| 130 | Find the line that is perpendicular to $ y = \frac{ 3 }{ 10 } x - 8 $ and passes though the point $ A=\left(3,~-9\right) $. | 12 |
| 131 | Find the line that is parallel to $ y = - 5 x + 3 $ and passes though the point $ A=\left(2,~-6\right) $. | 12 |
| 132 | Find the line that is parallel to $ y = - 9 x + 10 $ and passes though the point $ A=\left(-2,~-1\right) $. | 12 |
| 133 | Find the line that is perpendicular to $ y = \frac{ 1 }{ 3 } x + 1 $ and passes though the point $ A=\left(-3,~4\right) $. | 12 |
| 134 | Find the line that is perpendicular to $ y = \frac{ 5 }{ 3 } x - 4 $ and passes though the point $ A=\left(-10,~-3\right) $. | 12 |
| 135 | Find the line that is perpendicular to $ 3x+y+6=0 $ and passes though the point $ A=\left(0,~-6\right) $. | 12 |
| 136 | Find the line that is parallel to $ y = - \frac{ 5 }{ 6 } x - 5 $ and passes though the point $ A=\left(9,~-4\right) $. | 12 |
| 137 | Find the line that is perpendicular to $ y = x + \frac{ 2 }{ 7 } $ and passes though the point $ A=\left(7,~-2\right) $. | 12 |
| 138 | Find the line that is parallel to $ y = \frac{ 1 }{ 3 } x - 1 $ and passes though the point $ A=\left(10,~2\right) $. | 12 |
| 139 | Find the line that is parallel to $ y = 4 x + 11 $ and passes though the point $ \left(-2,~4\right) $. | 12 |
| 140 | Find the line that is parallel to $ y = - \frac{ 1 }{ 5 } x - \frac{ 17 }{ 5 } $ and passes though the point $ A=\left(-10,~-8\right) $. | 12 |
| 141 | Find the line that is perpendicular to $ y = - 6 x - 3 $ and passes though the point $ A=\left(3,~-3\right) $. | 12 |
| 142 | Find the line that is parallel to $ y = x $ and passes though the point $ \left(0,~0\right) $. | 12 |
| 143 | Find the line that is perpendicular to $ y = - \frac{ 7 }{ 3 } x + 8 $ and passes though the point $ A=\left(0,~0\right) $. | 12 |
| 144 | Find the line that is perpendicular to $ y = x - 6 $ and passes though the point $ A=\left(4,~2\right) $. | 12 |
| 145 | Find the line that is perpendicular to $ y = - \frac{ 4 }{ 3 } x - 8 $ and passes though the point $ A=\left(8,~2\right) $. | 12 |
| 146 | Find the line that is perpendicular to $ y = 7 x - 9 $ and passes though the point $ A=\left(8,~-3\right) $. | 12 |
| 147 | Find the line that is perpendicular to $ y = - \frac{ 10 }{ 9 } x - 3 $ and passes though the point $ A=\left(2,~3\right) $. | 12 |
| 148 | Find the line that is parallel to $ y = 7 x - 5 $ and passes though the point $ A=\left(8,~-4\right) $. | 12 |
| 149 | Find the line that is parallel to $ y = - 9 x - 1 $ and passes though the point $ \left(2,~-3\right) $. | 11 |
| 150 | Find the line that is parallel to $ y = - x + 4 $ and passes though the point $ A=\left(-2,~3\right) $. | 11 |
