Distance between a line and a point calculator

This online calculator can find the distance between a given line and a given point.

Distance between a line and a point

show help ↓↓ examples ↓↓

Input line in:

Line equation:

$x$ $y$ $= 0$

$y~=~$ $x$

Input point:

( , )

NOTE: To input square root symbol type letter 'r'. For example: $\color{blue}{\text{ r13 } = \sqrt{13}} $ ,$\color{blue}{\text{ 2r3 } = 2\sqrt{3}} $ ,$\color{blue}{ \text{ 2r(3/5) }= 2 \sqrt{\frac{3}{5}}} $.

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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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