Lines intersection calculator

This online calculator finds and displays the point of intersection of two lines given by their equations.

Intersection of two lines calculator

with detailed, step by step explanation
show help ↓↓ examples ↓↓

Input lines in:

Enter first line:

$x$ $y$ $=0$

$y~=~$ $x$

Enter second line:

$x$ $y$ $=0$

$y~=~$ $x$

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 intersection of the lines $y = 2x - 1$ and $y = - \frac{1}{3}x + 4$.

example 2:ex 2:

Find the coordinates of the intersection of the lines $2x + y = 1$ and $x - y = 2$.

example 3:ex 3:

Find the coordinates of the intersection of the lines $-\frac{1}{2}x + \frac{1}{3}y = 2$ and $\frac{5}{2}x - y = \frac{1}{4}$.

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