# What is the slope of the line perpendicular to  y=13/5x-3 ?

Dec 21, 2015

$- \frac{5}{13}$

#### Explanation:

The slope of any line perpendicular to a line of slope $m$ is $- \frac{1}{m}$

In our example, the equation is in slope intercept form, so the slope is easily read as the coefficient of $x$, namely $\frac{13}{5}$.

Hence the slope of any line perpendicular to this line is:

$- \frac{1}{\frac{13}{5}} = - \frac{5}{13}$