# What is the equation of the line that goes through (5, -6) and is perpendicular to y=9?

Feb 28, 2017

See the entire solution explanation below:

#### Explanation:

$y = 9$ is a vertical line because it has a value of $9$ for each and every value of $x$.

Therefore, a line perpendicular to the will be a horizontal line and $x$ will have the same value for each and every value of $y$.

The equation for a horizontal line is $x = a$.

In this case we are given the point $\left(5 , - 6\right)$ which has a value of $5$ for $x$.

Therefore, the equation for the line in this problem is:

$x = 5$