y = -1/4 x + 2
Step-by-step explanation:
The given equation: y = 4x
using the equation of line: y = mx + b
m = slope, b = y-intercept
from the given equation, y = 4x + 0
m = 4, b = 0
For a slope to be perpendicular to another, the slope of one must be equal to the negative reciprocal of the other:
since the slope of one = 4
reciprocal of 4 = 1/4
negative reciprocal = -1/4
slope of the second one = -1/4
using the point (-4, 3), we would get the y-intercept
y = mx + b
m = -1/4, x = -4, y = 3
3 = (-1/4)(-4) + b
3 = 1 + b
b = 3-1
b = 2
The equation becomes:
y = -1/4 x + 2