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 |
| 451 | Find the line that is perpendicular to $ y = - \frac{ 2 }{ 3 } x $ and passes though the point $ \left(4,~-\dfrac{ 9 }{ 2 }\right) $. | 4 |
| 452 | Find the line that is perpendicular to $ y = \frac{ 3 }{ 2 } x $ and passes though the point $ \left(4,~-\dfrac{ 9 }{ 2 }\right) $. | 4 |
| 453 | Find the line that is perpendicular to $ 5x-3y+8=0 $ and passes though the point $ \left(-8,~3\right) $. | 4 |
| 454 | Find the line that is perpendicular to $ y = x - 2 $ and passes though the point $ \left(0,~-3\right) $. | 4 |
| 455 | Find the line that is perpendicular to $ y = 3 x + 5 $ and passes though the point $ \left(3,~2\right) $. | 4 |
| 456 | Find the line that is parallel to $ y = - \frac{ 7 }{ 3 } x - \frac{ 4 }{ 3 } $ and passes though the point $ \left(-2,~5\right) $. | 4 |
| 457 | Find the line that is perpendicular to $ y = x $ and passes though the point $ \left(4,~6\right) $. | 4 |
| 458 | Find the line that is perpendicular to $ y = 3 x + 1 $ and passes though the point $ \left(5,~3\right) $. | 4 |
| 459 | Find the line that is perpendicular to $ y = 2 x - 7 $ and passes though the point $ \left(10,~3\right) $. | 4 |
| 460 | Find the line that is parallel to $ y = 9 x + 9 $ and passes though the point $ \left(9,~8\right) $. | 4 |
| 461 | Find the line that is parallel to $ y = - \frac{ 10 }{ 9 } x - 2 $ and passes though the point $ \left(9,~-3\right) $. | 4 |
| 462 | Find the line that is perpendicular to $ y = 5 x - 3 $ and passes though the point $ \left(5,~2\right) $. | 4 |
| 463 | Find the line that is perpendicular to $ y = \frac{ 1 }{ 2 } x + \frac{ 23 }{ 2 } $ and passes though the point $ \left(8,~10\right) $. | 4 |
| 464 | Find the line that is parallel to $ y = \frac{ 1 }{ 2 } x + \frac{ 23 }{ 2 } $ and passes though the point $ \left(8,~10\right) $. | 4 |
| 465 | Find the line that is parallel to $ y = 4 x + 3 $ and passes though the point $ \left(-2,~-3\right) $. | 4 |
| 466 | Find the line that is parallel to $ y = - \frac{ 8 }{ 9 } x - 5 $ and passes though the point $ \left(8,~6\right) $. | 4 |
| 467 | Find the line that is perpendicular to $ y = \frac{ 6 }{ 7 } x $ and passes though the point $ \left(-5,~3\right) $. | 4 |
| 468 | Find the line that is perpendicular to $ y = 4 x - 6 $ and passes though the point $ \left(6,~-6\right) $. | 4 |
| 469 | Find the line that is parallel to $ y = - \frac{ 1 }{ 5 } x - 3 $ and passes though the point $ \left(3,~-1\right) $. | 4 |
| 470 | Find the line that is perpendicular to $ y = x + 4 $ and passes though the point $ \left(-1,~1\right) $. | 4 |
| 471 | Find the line that is perpendicular to $ y = - x + 5 $ and passes though the point $ \left(4,~-3\right) $. | 4 |
| 472 | Find the line that is parallel to $ y = \frac{ 1 }{ 2 } x + 5 $ and passes though the point $ \left(4,~-5\right) $. | 4 |
| 473 | Find the line that is perpendicular to $ 3x-4y+12=0 $ and passes though the point $ \left(0,~0\right) $. | 4 |
| 474 | Find the line that is perpendicular to $ y = - \frac{ 2 }{ 3 } x + 1 $ and passes though the point $ \left(\dfrac{ 3 }{ 2 },~0\right) $. | 4 |
| 475 | Find the line that is parallel to $ y = 7 x + 2 $ and passes though the point $ \left(7,~9\right) $. | 4 |
| 476 | Find the line that is perpendicular to $ y = 4 x + 5 $ and passes though the point $ \left(8,~-4\right) $. | 4 |
| 477 | Find the line that is perpendicular to $ y = - 3 x + 1 $ and passes though the point $ \left(0,~0\right) $. | 4 |
| 478 | Find the line that is perpendicular to $ y = - \frac{ 7 }{ 6 } x + 10 $ and passes though the point $ \left(0,~2\right) $. | 4 |
| 479 | Find the line that is parallel to $ y = - 4 x + 5 $ and passes though the point $ \left(-2,~-1\right) $. | 4 |
| 480 | Find the line that is perpendicular to $ y = x + 4 $ and passes though the point $ \left(2,~2\right) $. | 4 |
| 481 | Find the line that is perpendicular to $ x+2y-4=0 $ and passes though the point $ \left(2,~3\right) $. | 4 |
| 482 | Find the line that is perpendicular to $ y = - 4 x + 8 $ and passes though the point $ \left(4,~3\right) $. | 4 |
| 483 | Find the line that is perpendicular to $ y = - 4 x - 12 $ and passes though the point $ \left(0,~0\right) $. | 4 |
| 484 | Find the line that is perpendicular to $ y = \frac{ 1 }{ 4 } x - 2 $ and passes though the point $ \left(4,~1\right) $. | 4 |
| 485 | Find the line that is parallel to $ y = - \frac{ 3 }{ 2 } x $ and passes though the point $ \left(\dfrac{ 5 }{ 6 },~\dfrac{ 2 }{ 7 }\right) $. | 4 |
| 486 | Find the line that is parallel to $ y = - 5 x + 12 $ and passes though the point $ \left(-2,~1\right) $. | 4 |
| 487 | Find the line that is perpendicular to $ y = 4 x + 1 $ and passes though the point $ \left(0,~1\right) $. | 4 |
| 488 | Find the line that is parallel to $ y = 4 x - 9 $ and passes though the point $ \left(2,~-3\right) $. | 4 |
| 489 | Find the line that is perpendicular to $ y = \frac{ 1 }{ 2 } x + 3 $ and passes though the point $ \left(3,~-3\right) $. | 4 |
| 490 | Find the line that is perpendicular to $ y = - \frac{ 1 }{ 8 } x + 4 $ and passes though the point $ \left(2,~3\right) $. | 4 |
| 491 | Find the line that is perpendicular to $ y = - 2 x - 4 $ and passes though the point $ \left(-4,~-5\right) $. | 4 |
| 492 | Find the line that is parallel to $ y = 2 x + 24 $ and passes though the point $ \left(3,~1\right) $. | 4 |
| 493 | Find the line that is perpendicular to $ y = x $ and passes though the point $ \left(2,~4\right) $. | 4 |
| 494 | Find the line that is parallel to $ y = \frac{ 2 }{ 3 } x + 7 $ and passes though the point $ \left(-9,~2\right) $. | 4 |
| 495 | Find the line that is perpendicular to $ y = \frac{ 2 }{ 3 } x + 7 $ and passes though the point $ \left(-9,~2\right) $. | 4 |
| 496 | Find the line that is perpendicular to $ y = 9 x - 7 $ and passes though the point $ \left(-5,~-6\right) $. | 4 |
| 497 | Find the line that is parallel to $ y = 9 x - 7 $ and passes though the point $ \left(-5,~-6\right) $. | 4 |
| 498 | Find the line that is perpendicular to $ y = - 2 x - \frac{ 3 }{ 2 } $ and passes though the point $ \left(7,~-2\right) $. | 4 |
| 499 | Find the line that is parallel to $ y = - 2 x - \frac{ 3 }{ 2 } $ and passes though the point $ \left(7,~-2\right) $. | 4 |
| 500 | Find the line that is parallel to $ y = \frac{ 3 }{ 2 } x - 3 $ and passes though the point $ \left(-1,~3\right) $. | 4 |