What is the slope of the line perpendicular to y=-1/4x-5 y=14x5?

1 Answer
Mar 11, 2018

m'=4

Explanation:

Intercept form of the equation

=> y=mx+c

Here , m is the slope of the line.

The given equation is

=> y=-1/4 x -5

On equating , you get m=-1/4.

So , slope of the given line is -1/4.

Product of slope of two perpendicular lines = -1.

=>Slope of given line (m) xx slope of perpendicular line (m') = -1

=>m xx m' = -1

We found m=-1/4

Put this value in the equation.

=> -1/4 xx m' =-1

=>(m')/4=1

=> m'=4

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