# What is the slope of the line perpendicular to  y=-5/12x-5 ?

Jan 6, 2016

$\frac{12}{5}$

#### Explanation:

$y = - \frac{5}{12} x - 5$
Compare $y = m x + c$
$\implies m = - \frac{5}{12}$
Slope of the given line is $- \frac{5}{12}$.

Let $m '$ be the slope of line perpendicular to the given line.
If two lines are perpendicular then the product of their slopes is $- 1$.
$\implies m m ' = - 1$
$\implies m ' = - \frac{1}{m} = - \frac{1}{- \frac{5}{12}} = \frac{12}{5}$
$\implies m ' = \frac{12}{5}$
Therefore, the slope of the line perpendicular to the given line is $\frac{12}{5}$.