# How do you find the slope of a line perpendicular to y=(-x/5)-7?

May 26, 2015

If a given line has a slope of $m$
then any line perpendicular to the given line has a slope of $\left(- \frac{1}{m}\right)$

$y = \left(- \frac{x}{5}\right) - 7$
can be re-expressed as
$y = \left(- \frac{1}{5}\right) x - 7$
which is the slope-intercept form for a line
with slope of $\left(- \frac{1}{5}\right)$ (and y-intercept of $- 7$)

The slope of any line perpendicular to this would be $5$