Find the slope of the line perpendicular to y=−1/4x−5

Kailey Vargas

Kailey Vargas

Answered question

2022-09-08

Find the slope of the line perpendicular to y = - 1 4 x - 5

Answer & Explanation

Gracelyn Paul

Gracelyn Paul

Beginner2022-09-09Added 17 answers

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 ) × slope of perpendicular line ( m ) = - 1
m × m = - 1
We found m = - 1 4
Put this value in the equation.
- 1 4 × m = - 1
m 4 = 1
m = 4
So , slope of the line perpendicular to the given line is equal to 4.

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