# How do you find the slope that is perpendicular to the line 5x-2y=-1?

Jul 30, 2016

$= - \frac{2}{5}$

#### Explanation:

$5 x - 2 y = - 1$
or
$2 y = 5 x + 1$
or
$y = \frac{5}{2} x + \frac{1}{2}$
$y = m x + c$ where $m$ is the slope
Slope=$\frac{5}{2}$

But slope of the line that is perpendicular to the above line$= - \frac{1}{m}$
Hence
slope of the line that is perpendicular to the above line$= - \frac{2}{5}$