Question

A line is perpendicular to y = 4x – 2

Answer 1

Answer:

$y=-\frac{1}{4}x-10$

Step-by-step explanation:

If a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m.

in this case, $y=4x-2$

∴ $m=4$ by comparing with $y=mx+c$

the slope of the perpendicular line is

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

use the point-slope form: $y-y_{0}=m(x-x_{0} )$

the equation of the perpendicular line is

$y+11=-\frac{1}{4}(x-4)=-\frac{1}{4}x+1\\y=-\frac{1}{4}x+1-11=-\frac{1}{4}x-10$