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 |
| 501 | Find the line that is parallel to $ y = x + 10 $ and passes though the point $ \left(2,~-1\right) $. | 4 |
| 502 | Find the line that is perpendicular to $ y = 5 x - \frac{ 2 }{ 5 } $ and passes though the point $ \left(2,~6\right) $. | 4 |
| 503 | Find the line that is perpendicular to $ x-9y-7=0 $ and passes though the point $ \left(7,~-1\right) $. | 4 |
| 504 | Find the line that is parallel to $ y = 8530 x + 397654 $ and passes though the point $ \left(601,~1122\right) $. | 4 |
| 505 | Find the line that is parallel to $ y = 8530 x + 397601 $ and passes though the point $ \left(7654001122,~609\right) $. | 4 |
| 506 | Find the line that is perpendicular to $ y = \frac{ 3 }{ 4 } x - 4 $ and passes though the point $ \left(-8,~-5\right) $. | 4 |
| 507 | Find the line that is parallel to $ y = - \frac{ 3 }{ 5 } x + 6 $ and passes though the point $ \left(-3,~5\right) $. | 4 |
| 508 | Find the line that is perpendicular to $ y = - \frac{ 3 }{ 5 } x + 6 $ and passes though the point $ \left(-3,~5\right) $. | 4 |
| 509 | Find the line that is perpendicular to $ y = 3 x + 8 $ and passes though the point $ \left(-4,~1\right) $. | 4 |
| 510 | Find the line that is perpendicular to $ y = 5 x + 30 $ and passes though the point $ \left(0,~0\right) $. | 4 |
| 511 | Find the line that is perpendicular to $ y = \frac{ 1 }{ 2 } x - 9 $ and passes though the point $ \left(7,~10\right) $. | 4 |
| 512 | Find the line that is perpendicular to $ y = - \frac{ 6 }{ 5 } x - \frac{ 1 }{ 5 } $ and passes though the point $ \left(-1,~1\right) $. | 4 |
| 513 | Find the line that is parallel to $ y = \frac{ 3 }{ 5 } x + \frac{ 7 }{ 5 } $ and passes though the point $ \left(5,~9\right) $. | 4 |
| 514 | Find the line that is perpendicular to $ y = - 10 x + \frac{ 49 }{ 2 } $ and passes though the point $ \left(4,~-2\right) $. | 4 |
| 515 | Find the line that is perpendicular to $ y = 8 x - 27 $ and passes though the point $ \left(\dfrac{ 31 }{ 2 },~1\right) $. | 4 |
| 516 | Find the line that is perpendicular to $ y = - \frac{ 23 }{ 5 } x - \frac{ 149 }{ 5 } $ and passes though the point $ \left(\dfrac{ 7 }{ 2 },~-8\right) $. | 4 |
| 517 | Find the line that is perpendicular to $ y = 3 x - 2 $ and passes though the point $ \left(-10,~6\right) $. | 4 |
| 518 | Find the line that is perpendicular to $ y = - x - 2 $ and passes though the point $ \left(-1,~-1\right) $. | 4 |
| 519 | Find the line that is perpendicular to $ y = x - 8 $ and passes though the point $ \left(10,~-7\right) $. | 4 |
| 520 | Find the line that is perpendicular to $ y = - \frac{ 2 }{ 3 } x $ and passes though the point $ \left(4,~-\dfrac{ 9 }{ 2 }\right) $. | 4 |
| 521 | Find the line that is perpendicular to $ y = \frac{ 3 }{ 2 } x $ and passes though the point $ \left(4,~-\dfrac{ 9 }{ 2 }\right) $. | 4 |
| 522 | Find the line that is perpendicular to $ 5x-3y+8=0 $ and passes though the point $ \left(-8,~3\right) $. | 4 |
| 523 | Find the line that is perpendicular to $ y = x - 2 $ and passes though the point $ \left(0,~-3\right) $. | 4 |
| 524 | Find the line that is perpendicular to $ y = 3 x + 5 $ and passes though the point $ \left(3,~2\right) $. | 4 |
| 525 | 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 |
| 526 | Find the line that is perpendicular to $ y = x $ and passes though the point $ \left(4,~6\right) $. | 4 |
| 527 | Find the line that is perpendicular to $ y = 3 x + 1 $ and passes though the point $ \left(5,~3\right) $. | 4 |
| 528 | Find the line that is perpendicular to $ y = 2 x - 7 $ and passes though the point $ \left(10,~3\right) $. | 4 |
| 529 | Find the line that is parallel to $ y = 9 x + 9 $ and passes though the point $ \left(9,~8\right) $. | 4 |
| 530 | Find the line that is parallel to $ y = - \frac{ 10 }{ 9 } x - 2 $ and passes though the point $ \left(9,~-3\right) $. | 4 |
| 531 | Find the line that is perpendicular to $ y = 5 x - 3 $ and passes though the point $ \left(5,~2\right) $. | 4 |
| 532 | 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 |
| 533 | 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 |
| 534 | Find the line that is parallel to $ y = 4 x + 3 $ and passes though the point $ \left(-2,~-3\right) $. | 4 |
| 535 | Find the line that is parallel to $ y = - \frac{ 8 }{ 9 } x - 5 $ and passes though the point $ \left(8,~6\right) $. | 4 |
| 536 | Find the line that is perpendicular to $ y = \frac{ 6 }{ 7 } x $ and passes though the point $ \left(-5,~3\right) $. | 4 |
| 537 | Find the line that is perpendicular to $ y = 4 x - 6 $ and passes though the point $ \left(6,~-6\right) $. | 4 |
| 538 | Find the line that is parallel to $ y = - \frac{ 1 }{ 5 } x - 3 $ and passes though the point $ \left(3,~-1\right) $. | 4 |
| 539 | Find the line that is perpendicular to $ y = x + 4 $ and passes though the point $ \left(-1,~1\right) $. | 4 |
| 540 | Find the line that is perpendicular to $ y = - x + 5 $ and passes though the point $ \left(4,~-3\right) $. | 4 |
| 541 | Find the line that is parallel to $ y = \frac{ 1 }{ 2 } x + 5 $ and passes though the point $ \left(4,~-5\right) $. | 4 |
| 542 | Find the line that is perpendicular to $ 3x-4y+12=0 $ and passes though the point $ \left(0,~0\right) $. | 4 |
| 543 | 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 |
| 544 | Find the line that is parallel to $ y = 7 x + 2 $ and passes though the point $ \left(7,~9\right) $. | 4 |
| 545 | Find the line that is perpendicular to $ y = - 3 x + 1 $ and passes though the point $ \left(0,~0\right) $. | 4 |
| 546 | Find the line that is perpendicular to $ y = - \frac{ 7 }{ 6 } x + 10 $ and passes though the point $ \left(0,~2\right) $. | 4 |
| 547 | Find the line that is parallel to $ y = - 4 x + 5 $ and passes though the point $ \left(-2,~-1\right) $. | 4 |
| 548 | Find the line that is perpendicular to $ y = x + 4 $ and passes though the point $ \left(2,~2\right) $. | 4 |
| 549 | Find the line that is perpendicular to $ x+2y-4=0 $ and passes though the point $ \left(2,~3\right) $. | 4 |
| 550 | Find the line that is perpendicular to $ y = - 4 x + 8 $ and passes though the point $ \left(4,~3\right) $. | 4 |
