# How do you find the slope perpendicular to x = -5y - 5?

Apr 5, 2018

$5$

#### Explanation:

Get this equation in the form $y = m x + b ,$ where we can easier determine our slope $m$.

$- 5 y = x + 5$

$y = - \frac{1}{5} x - 1$

So, $m = - \frac{1}{5.}$

Now, the slope of the line perpendicular to this line must have a slope that is the negative reciprocal of this slope, IE,

${m}_{p} = - \frac{1}{m}$

So,

${m}_{p} = - \frac{1}{- \frac{1}{5}} = \frac{1}{\frac{1}{5}} = 5$