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 |
| 401 | Find the line that is parallel to $ y = 4 x - 8 $ and passes though the point $ A=\left(6,~14\right) $. | 5 |
| 402 | Find the line that is perpendicular to $ y = 3 x + 2 $ and passes though the point $ \left(1,~3\right) $. | 5 |
| 403 | Find the line that is parallel to $ y = \frac{ 1 }{ 4 } x + 4 $ and passes though the point $ \left(8,~8\right) $. | 5 |
| 404 | Find the line that is perpendicular to $ y = 2 x - 4 $ and passes though the point $ \left(4,~-1\right) $. | 5 |
| 405 | Find the line that is perpendicular to $ y = \frac{ 3 }{ 4 } x - 4 $ and passes though the point $ \left(-3,~5\right) $. | 5 |
| 406 | Find the line that is parallel to $ y = - \frac{ 1 }{ 3 } x + 7 $ and passes though the point $ \left(4,~2\right) $. | 5 |
| 407 | Find the line that is perpendicular to $ y = \frac{ 2 }{ 3 } x - 73 $ and passes though the point $ \left(0,~0\right) $. | 5 |
| 408 | Find the line that is perpendicular to $ y = 4 x - 4 $ and passes though the point $ \left(6,~6\right) $. | 5 |
| 409 | Find the line that is perpendicular to $ y = \frac{ 7 }{ 6 } x - 4 $ and passes though the point $ \left(6,~-2\right) $. | 5 |
| 410 | Find the line that is parallel to $ y = \frac{ 7 }{ 6 } x - 4 $ and passes though the point $ \left(6,~-2\right) $. | 5 |
| 411 | Find the line that is perpendicular to $ y = 2 x + 1 $ and passes though the point $ \left(5,~-5\right) $. | 5 |
| 412 | Find the line that is parallel to $ y = - \frac{ 4 }{ 3 } x - 2 $ and passes though the point $ \left(5,~4\right) $. | 5 |
| 413 | Find the line that is perpendicular to $ y = 3 x - 2 $ and passes though the point $ \left(0,~0\right) $. | 5 |
| 414 | Find the line that is parallel to $ y = \frac{ 6 }{ 5 } x + \frac{ 4 }{ 5 } $ and passes though the point $ \left(1,~-2\right) $. | 5 |
| 415 | Find the line that is perpendicular to $ y = - \frac{ 9 }{ 7 } x + 5 $ and passes though the point $ \left(7,~-6\right) $. | 5 |
| 416 | Find the line that is perpendicular to $ y = - 6 x + 8 $ and passes though the point $ \left(7,~3\right) $. | 5 |
| 417 | Find the line that is perpendicular to $ y = \frac{ 2 }{ 3 } x + \frac{ 5 }{ 9 } $ and passes though the point $ \left(-5,~4\right) $. | 5 |
| 418 | Find the line that is perpendicular to $ y = \frac{ 2 }{ 3 } x + 7 $ and passes though the point $ \left(1,~2\right) $. | 5 |
| 419 | Find the line that is parallel to $ y = 2 x - 3 $ and passes though the point $ \left(-3,~-3\right) $. | 5 |
| 420 | Find the line that is perpendicular to $ y = \frac{ 7 }{ 2 } x + 7 $ and passes though the point $ \left(-2,~-2\right) $. | 5 |
| 421 | Find the line that is perpendicular to $ y = 5 x - 8 $ and passes though the point $ \left(8,~-5\right) $. | 5 |
| 422 | Find the line that is parallel to $ y = \frac{ 1 }{ 2 } x + 2 $ and passes though the point $ \left(4,~5\right) $. | 5 |
| 423 | Find the line that is parallel to $ y = 2 x + 1 $ and passes though the point $ \left(1,~5\right) $. | 5 |
| 424 | Find the line that is parallel to $ y = - 5 x - 9 $ and passes though the point $ \left(4,~-2\right) $. | 5 |
| 425 | Find the line that is perpendicular to $ y = - 3 x - 5 $ and passes though the point $ \left(-2,~5\right) $. | 5 |
| 426 | Find the line that is perpendicular to $ y = - \frac{ 2 }{ 3 } x - 2 $ and passes though the point $ \left(-6,~10\right) $. | 5 |
| 427 | Find the line that is parallel to $ y = 5 x - 1 $ and passes though the point $ \left(0,~0\right) $. | 5 |
| 428 | Find the line that is perpendicular to $ 3x-2y+6=0 $ and passes though the point $ \left(0,~0\right) $. | 5 |
| 429 | Find the line that is perpendicular to $ 2x+3y-6=0 $ and passes though the point $ \left(0,~0\right) $. | 5 |
| 430 | Find the line that is parallel to $ y = \frac{ 1 }{ 5 } x + \frac{ 1 }{ 5 } $ and passes though the point $ \left(0,~0\right) $. | 5 |
| 431 | Find the line that is parallel to $ y = - 4 x + 7 $ and passes though the point $ \left(-7,~20\right) $. | 5 |
| 432 | Find the line that is parallel to $ y = x $ and passes though the point $ \left(-15,~0\right) $. | 5 |
| 433 | Find the line that is perpendicular to $ y = - 3 x + 4 $ and passes though the point $ \left(5,~6\right) $. | 5 |
| 434 | Find the line that is perpendicular to $ y = 3 x - 7 $ and passes though the point $ \left(0,~0\right) $. | 5 |
| 435 | Find the line that is parallel to $ y = \frac{ 3 }{ 2 } x - 4 $ and passes though the point $ \left(0,~0\right) $. | 5 |
| 436 | Find the line that is parallel to $ y = \frac{ 1 }{ 3 } x + 33 $ and passes though the point $ \left(12,~12\right) $. | 5 |
| 437 | Find the line that is perpendicular to $ y = \frac{ 1 }{ 3 } x + 33 $ and passes though the point $ \left(12,~12\right) $. | 5 |
| 438 | Find the line that is perpendicular to $ y = 0 $ and passes though the point $ \left(-\dfrac{ 3 }{ 2 },~0\right) $. | 5 |
| 439 | Find the line that is parallel to $ y = 2 x - 1 $ and passes though the point $ \left(5,~-3\right) $. | 5 |
| 440 | Find the line that is perpendicular to $ y = \frac{ 3 }{ 2 } x - 9 $ and passes though the point $ \left(-3,~1\right) $. | 5 |
| 441 | Find the line that is perpendicular to $ y = x + 3 $ and passes though the point $ \left(0,~3\right) $. | 5 |
| 442 | Find the line that is perpendicular to $ y = 3 x + 4 $ and passes though the point $ \left(-\dfrac{ 2 }{ 3 },~\dfrac{ 7 }{ 8 }\right) $. | 5 |
| 443 | Find the line that is parallel to $ y = - 9 x $ and passes though the point $ \left(4,~-4\right) $. | 5 |
| 444 | Find the line that is perpendicular to $ y = 5 x $ and passes though the point $ \left(0,~0\right) $. | 5 |
| 445 | Find the line that is parallel to $ y = \frac{ 6 }{ 7 } x $ and passes though the point $ \left(-5,~3\right) $. | 5 |
| 446 | Find the line that is parallel to $ y = 4 x - 6 $ and passes though the point $ \left(6,~-6\right) $. | 5 |
| 447 | Find the line that is perpendicular to $ y = 4 x + 5 $ and passes though the point $ \left(-3,~-1\right) $. | 5 |
| 448 | Find the line that is parallel to $ y = 4 x + 5 $ and passes though the point $ \left(-3,~-1\right) $. | 5 |
| 449 | Find the line that is parallel to $ y = - \frac{ 5 }{ 3 } x $ and passes though the point $ \left(1,~-2\right) $. | 5 |
| 450 | Find the line that is perpendicular to $ y = 2 x - 5 $ and passes though the point $ \left(\dfrac{ 2 }{ 3 },~-\dfrac{ 1 }{ 4 }\right) $. | 4 |