# How do you write an equation of a line given (-6, -1) perpendicular to line 5x-3=2?

Jul 13, 2016

$y = - 1$

#### Explanation:

Notice that $5 x - 3 = 2$ is a vertical line (equivalent to x=1)

Any line perpendicular to it must be a horizontal line.

A horizontal line passing through $\left(- 6 , - 1\right)$ has its $y$ a constant (namely $\left(- 1\right)$)

So the required equation is
$\textcolor{w h i t e}{\text{XXX}} y = - 1$