# The slope of a line is -1/3. How do you find the slope of a line that is perpendicular to this line?

Mar 28, 2018

$\text{perpendicular slope } = 3$

#### Explanation:

$\text{Given a line with slope m the the slope of a line}$
$\text{perpendicular to it is}$

${m}_{\textcolor{red}{\text{perpendicular}}} = - \frac{1}{m}$

$\Rightarrow {m}_{\text{perpendicular}} = - \frac{1}{- \frac{1}{3}} = 3$