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 |
| 5001 | Find the line that is parallel to $ y = - 5 x + 6 $ and passes though the point $ \left(2,~3\right) $. | 1 |
| 5002 | Find the line that is parallel to $ y = - x + 7 $ and passes though the point $ \left(-3,~2\right) $. | 1 |
| 5003 | Find the line that is parallel to $ y = \frac{ 3 }{ 5 } x $ and passes though the point $ \left(\dfrac{ 3 }{ 4 },~\dfrac{ 7 }{ 8 }\right) $. | 1 |
| 5004 | Find the line that is perpendicular to $ x+13=0 $ and passes though the point $ \left(-8,~7\right) $. | 1 |
| 5005 | Find the line that is perpendicular to $ y = - \frac{ 1 }{ 3 } x $ and passes though the point $ \left(\dfrac{ 1 }{ 2 },~0\right) $. | 1 |
| 5006 | Find the line that is perpendicular to $ y = \frac{ 3 }{ 2 } x + 1 $ and passes though the point $ \left(0,~-4\right) $. | 1 |
| 5007 | Find the line that is perpendicular to $ y = \frac{ 3 }{ 5 } x + 9 $ and passes though the point $ \left(-15,~0\right) $. | 1 |
| 5008 | Find the line that is parallel to $ y = x + 40 $ and passes though the point $ \left(-4,~-3\right) $. | 1 |
| 5009 | Find the line that is perpendicular to $ y = - 6 x + 6 $ and passes though the point $ \left(8,~2\right) $. | 1 |
| 5010 | Find the line that is perpendicular to $ y = - \frac{ 6 }{ 7 } x - 7 $ and passes though the point $ \left(-7,~-4\right) $. | 1 |
| 5011 | Find the line that is parallel to $ y = - \frac{ 6 }{ 7 } x - 7 $ and passes though the point $ \left(-7,~-4\right) $. | 1 |
| 5012 | Find the line that is parallel to $ 2x+3y+24=0 $ and passes though the point $ \left(3,~0\right) $. | 1 |
| 5013 | Find the line that is parallel to $ 2x+3y+24=0 $ and passes though the point $ \left(3,~2\right) $. | 1 |
| 5014 | Find the line that is perpendicular to $ x+3y-21=0 $ and passes though the point $ \left(-1,~-2\right) $. | 1 |
| 5015 | Find the line that is parallel to $ y = 12 x $ and passes though the point $ \left(0,~0\right) $. | 1 |
| 5016 | Find the line that is perpendicular to $ y = 4 x + 1 $ and passes though the point $ \left(8,~2\right) $. | 1 |
| 5017 | Find the line that is perpendicular to $ y = x - 7 $ and passes though the point $ \left(2,~-2\right) $. | 1 |
| 5018 | Find the line that is perpendicular to $ y = \frac{ 1 }{ 2 } x $ and passes though the point $ \left(0,~0\right) $. | 1 |
| 5019 | Find the line that is perpendicular to $ y = - x - 6 $ and passes though the point $ \left(-9,~-4\right) $. | 1 |
| 5020 | Find the line that is parallel to $ y = - 3 x + 8 $ and passes though the point $ \left(2,~4\right) $. | 1 |
| 5021 | Find the line that is parallel to $ y = - 4 x + 7 $ and passes though the point $ \left(2,~8\right) $. | 1 |
| 5022 | Find the line that is parallel to $ y = \frac{ 1 }{ 9 } x + 1 $ and passes though the point $ \left(-3,~6\right) $. | 1 |
| 5023 | Find the line that is parallel to $ y = \frac{ 5 }{ 6 } x + 7 $ and passes though the point $ \left(2,~6\right) $. | 1 |
| 5024 | Find the line that is perpendicular to $ y = - 2 x + 3 $ and passes though the point $ \left(2,~5\right) $. | 1 |
| 5025 | Find the line that is perpendicular to $ y = - 4 x + 3 $ and passes though the point $ \left(1,~8\right) $. | 1 |
| 5026 | Find the line that is perpendicular to $ y = - \frac{ 2 }{ 7 } x + 8 $ and passes though the point $ \left(7,~4\right) $. | 1 |
| 5027 | Find the line that is perpendicular to $ y = - 3 x + 4 $ and passes though the point $ \left(5,~-6\right) $. | 1 |
| 5028 | Find the line that is parallel to $ y = - \frac{ 5 }{ 7 } x - 2 $ and passes though the point $ \left(5,~-6\right) $. | 1 |
| 5029 | Find the line that is perpendicular to $ y = - 2 x + 5 $ and passes though the point $ \left(6,~-5\right) $. | 1 |
| 5030 | Find the line that is perpendicular to $ y = 6 x - 2 $ and passes though the point $ \left(0,~-2\right) $. | 1 |
| 5031 | Find the line that is perpendicular to $ y = \frac{ 6 }{ 5 } x + 4 $ and passes though the point $ \left(-6,~5\right) $. | 1 |
| 5032 | Find the line that is perpendicular to $ y = - 2 x - 1 $ and passes though the point $ \left(4,~6\right) $. | 1 |
| 5033 | Find the line that is perpendicular to $ y = 4 x + 3 $ and passes though the point $ \left(2,~-3\right) $. | 1 |
| 5034 | Find the line that is parallel to $ y = - x + 5 $ and passes though the point $ \left(-2,~3\right) $. | 1 |
| 5035 | Find the line that is perpendicular to $ y = - 5 x $ and passes though the point $ \left(5,~0\right) $. | 1 |
| 5036 | Find the line that is perpendicular to $ y = \frac{ 4 }{ 9 } x + 4 $ and passes though the point $ \left(4,~-4\right) $. | 1 |
| 5037 | Find the line that is perpendicular to $ y = - \frac{ 1 }{ 5 } x + 4 $ and passes though the point $ \left(-5,~-1\right) $. | 1 |
| 5038 | Find the line that is parallel to $ y = - \frac{ 7 }{ 2 } x - 4 $ and passes though the point $ \left(2,~-5\right) $. | 1 |
| 5039 | Find the line that is parallel to $ y = \frac{ 1 }{ 4 } x + 5 $ and passes though the point $ \left(4,~3\right) $. | 1 |
| 5040 | Find the line that is parallel to $ y = - 3 x + 5 $ and passes though the point $ \left(-2,~4\right) $. | 1 |
| 5041 | Find the line that is perpendicular to $ y = x + 2 $ and passes though the point $ \left(3,~-3\right) $. | 1 |
| 5042 | Find the line that is perpendicular to $ y = \frac{ 3 }{ 5 } x - 1 $ and passes though the point $ \left(-3,~0\right) $. | 1 |
| 5043 | Find the line that is perpendicular to $ y = 8 x $ and passes though the point $ \left(2,~-2\right) $. | 1 |
| 5044 | Find the line that is perpendicular to $ y = 2 x + 6 $ and passes though the point $ \left(2,~7\right) $. | 1 |
| 5045 | Find the line that is parallel to $ y = \frac{ 1 }{ 3 } x + 1 $ and passes though the point $ \left(-6,~-7\right) $. | 1 |
| 5046 | Find the line that is perpendicular to $ y = - \frac{ 2 }{ 7 } x + 1 $ and passes though the point $ \left(4,~9\right) $. | 1 |
| 5047 | Find the line that is perpendicular to $ y = \frac{ 5 }{ 6 } x + \frac{ 11 }{ 6 } $ and passes though the point $ \left(-6,~-7\right) $. | 1 |
| 5048 | Find the line that is perpendicular to $ 3x+4y-12=0 $ and passes though the point $ \left(-4,~6\right) $. | 1 |
| 5049 | Find the line that is perpendicular to $ 3x+4y-12=0 $ and passes though the point $ \left(-4,~7\right) $. | 1 |
| 5050 | Find the line that is parallel to $ 8x-2y-7=0 $ and passes though the point $ \left(0,~0\right) $. | 1 |
