# How do you write an equation of a line through (5 -2), perpendicular to x=0?

Nov 17, 2016

$y = - 2$

#### Explanation:

$x = 0$ is a vertical line - it is the y-axis.
$y = 0$ is a horizontal line. - it is the x-axis

The line perpendicular to $x = 0$ will therefore be a horizontal line.
As it passes through the point $\left(5 , - 2\right)$ it has the y-value -2.

It crosses the y-axis at -2.

Its equation is $y = - 2$