# What is the slope of the line perpendicular to  y=-1/4x-5 ?

Mar 11, 2018

$m ' = 4$

#### Explanation:

Intercept form of the equation

$\implies y = m x + c$

Here , $m$ is the slope of the line.

The given equation is

$\implies y = - \frac{1}{4} x - 5$

On equating , you get $m = - \frac{1}{4}$.

So , slope of the given line is $- \frac{1}{4}$.

Product of slope of two perpendicular lines = -1.

$\implies$Slope of given line $\left(m\right) \times$ slope of perpendicular line $\left(m '\right) = - 1$

$\implies m \times m ' = - 1$

We found $m = - \frac{1}{4}$

Put this value in the equation.

$\implies - \frac{1}{4} \times m ' = - 1$

$\implies \frac{m '}{4} = 1$

$\implies m ' = 4$

So , slope of the line perpendicular to the given line is equal to 4.