# How do you find the slope that is perpendicular to the line  y=5x+3?

Mar 3, 2017

$\text{slope } = - \frac{1}{5}$

#### Explanation:

$y = 5 x + 3 \text{ is in the form } y = m x + b$

where m represents the slope of the line.

$\Rightarrow \text{ slope } = 5$

The slope of the perpendicular is.

$\textcolor{b l u e}{\text{the negative inverse of 5}}$

$\Rightarrow {m}_{\text{perpendicular}} = - \frac{1}{5}$