Line-point distance
(the database of solved problems)
All the problems and solutions shown below were generated using the Line-point distance calculator.
| ID |
Problem |
Count |
| 1 | Find the distance from line $ L: y = x $ to the point $ \left(0,~0\right) $. | 280 |
| 2 | Find the distance from line $ L: y = 5 x $ to the point $ \left(-3,~2\right) $. | 197 |
| 3 | Find the distance from line $ L: y = \frac{ 4 }{ 3 } x $ to the point $ \left(2,~4\right) $. | 169 |
| 4 | Find the distance from line $ L: y = - 0.1954 x + 17.6633 $ to the point $ \left(7.78,~15.63\right) $. | 147 |
| 5 | Find the distance from line $ L: y = x - 6 $ to the point $ \left(-9,~-3\right) $. | 123 |
| 6 | Find the distance from line $ L: y = 3 x + 1 $ to the point $ \left(10,~5\right) $. | 92 |
| 7 | Find the distance from line $ L: y = - 3 x + 8 $ to the point $ \left(-2,~-5\right) $. | 85 |
| 8 | Find the distance from line $ L: y = -3 $ to the point $ \left(4,~3\right) $. | 76 |
| 9 | Find the distance from line $ L: y = 3 x $ to the point $ \left(-1,~7\right) $. | 65 |
| 10 | Find the distance from line $ L: y = - 3 x + 7 $ to the point $ \left(-1,~2\right) $. | 57 |
| 11 | Find the distance from line $ L: y = - x + 4 $ to the point $ \left(2,~-1\right) $. | 52 |
| 12 | Find the distance from line $ L: y = - \frac{ 5 }{ 2 } x + 2 $ to the point $ \left(15,~-21\right) $. | 51 |
| 13 | Find the distance from line $ L: y = - x + 3 $ to the point $ \left(-1,~0\right) $. | 47 |
| 14 | Find the distance from line $ L: 3x+4y-5=0 $ to the point $ \left(-2,~5\right) $. | 46 |
| 15 | Find the distance from line $ L: 3x+4y+7=0 $ to the point $ \left(-2,~-9\right) $. | 44 |
| 16 | Find the distance from line $ L: y = - 5 x - 9 $ to the point $ \left(1,~-4\right) $. | 41 |
| 17 | Find the distance from line $ L: y = \frac{ 1 }{ 2 } x + 1 $ to the point $ \left(-2,~3\right) $. | 40 |
| 18 | Find the distance from line $ L: y = x + 1 $ to the point $ \left(-2,~-7\right) $. | 40 |
| 19 | Find the distance from line $ L: 5x+12y+17=0 $ to the point $ \left(3,~2\right) $. | 39 |
| 20 | Find the distance from line $ L: 7x-5y-1=0 $ to the point $ \left(8,~11\right) $. | 37 |
| 21 | Find the distance from line $ L: 4x-3y-5=0 $ to the point $ \left(1,~3\right) $. | 34 |
| 22 | Find the distance from line $ L: y = 4 x - 2 $ to the point $ \left(-3,~3\right) $. | 33 |
| 23 | Find the distance from line $ L: y = 4 x + 3 $ to the point $ \left(0,~0\right) $. | 32 |
| 24 | Find the distance from line $ L: y = - x $ to the point $ \left(3,~4\right) $. | 32 |
| 25 | Find the distance from line $ L: y = 3 x + 5 $ to the point $ \left(2,~7\right) $. | 32 |
| 26 | Find the distance from line $ L: y = x $ to the point $ \left(0,~0\right) $. | 30 |
| 27 | Find the distance from line $ L: x+2.1175y-16.249=0 $ to the point $ \left(15.58,~8.49\right) $. | 29 |
| 28 | Find the distance from line $ L: 4x+3y+7=0 $ to the point $ \left(3,~4\right) $. | 29 |
| 29 | Find the distance from line $ L: x=0 $ to the point $ \left(0,~0\right) $. | 29 |
| 30 | Find the distance from line $ L: y = \frac{ 1 }{ 3 } x - 2 $ to the point $ \left(-3,~7\right) $. | 29 |
| 31 | Find the distance from line $ L: y = \frac{ 2 }{ 3 } x + 4 $ to the point $ \left(8,~1\right) $. | 28 |
| 32 | Find the distance from line $ L: y = x + 1 $ to the point $ \left(2,~2\right) $. | 27 |
| 33 | Find the distance from line $ L: y = - 3 x + 7 $ to the point $ A=\left(-1,~2\right) $. | 26 |
| 34 | Find the distance from line $ L: y = \frac{ 3 }{ 2 } x + 6 $ to the point $ \left(4,~-1\right) $. | 25 |
| 35 | Find the distance from line $ L: y = x $ to the point $ \left(2,~3\right) $. | 25 |
| 36 | Find the distance from line $ L: y = \frac{ 1 }{ 2 } x + 7 $ to the point $ \left(-\dfrac{ 1 }{ 4 },~5\right) $. | 25 |
| 37 | Find the distance from line $ L: y = 3 x + 2 $ to the point $ \left(0,~0\right) $. | 25 |
| 38 | Find the distance from line $ L: y = - 2 x + 1 $ to the point $ \left(-4,~4\right) $. | 24 |
| 39 | Find the distance from line $ L: y = \frac{ 4 }{ 3 } x + 3 $ to the point $ \left(4,~0\right) $. | 24 |
| 40 | Find the distance from line $ L: y = - 4 x $ to the point $ \left(6,~-2\right) $. | 22 |
| 41 | Find the distance from line $ L: y = x $ to the point $ \left(0.745,~0.76\right) $. | 21 |
| 42 | Find the distance from line $ L: y = - \frac{ 3 }{ 4 } x $ to the point $ \left(2,~1\right) $. | 21 |
| 43 | Find the distance from line $ L: y = 1.5046 x + 16.7308 $ to the point $ \left(-0.09,~14.26\right) $. | 20 |
| 44 | Find the distance from line $ L: y = - 4 x $ to the point $ A=\left(6,~-2\right) $. | 19 |
| 45 | Find the distance from line $ L: y = x $ to the point $ \left(0.6857,~0.671\right) $. | 19 |
| 46 | Find the distance from line $ L: y = - 3 x + 8 $ to the point $ \left(-1,~1\right) $. | 19 |
| 47 | Find the distance from line $ L: y = \frac{ 1 }{ 2 } x + 2 $ to the point $ \left(5,~-1\right) $. | 18 |
| 48 | Find the distance from line $ L: y = - \frac{ 1 }{ 2 } x + 8 $ to the point $ \left(10,~11\right) $. | 18 |
| 49 | Find the distance from line $ L: y = 2 x + 3 $ to the point $ \left(5,~6\right) $. | 18 |
| 50 | Find the distance from line $ L: y = 1.732 x + 0.2679 $ to the point $ \left(4,~3\right) $. | 17 |