Distance between a line and a point calculator

This online calculator uses the line-point distance formula to determine the distance between a point and a line in the 2D plane.

Distance between a line and a point

supports lines in both standard and slope-intercept form
help ↓↓ examples ↓↓

Input line in:

Line equation:

$x$ $y$ $= 0$

$y~=~$ $x$

Input point:

( , )

To enter square roots, type r $ \left( \color{blue}{\text{ r11 } = \sqrt{11}} ~ \right) $.

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examples

example 1:ex 1:

Find the distance from the line $3x + 4y - 5 = 0$ to the point point $( -2, 5) $.

example 2:ex 2:

Find the perpendicular distance from the point $(5, -1)$ to the line $y = \frac{1}{2}x + 2 $

example 3:ex 3:

Find the perpendicular distance from the point $(-3, 1)$ to the line $y = 2x + 4$.

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