Answer:y = (1/2)x - 3
This is in slope intercept form: y = mx+b where m=slope, b = y-intercept
Slope is 1/2
Perpendicular line will have a slope that is the negative reciprocal of this slope.
m⊥ = -1/m = -1/(1/2) = -2
You are looking for equation of a line through (-2,2) with slope m = -2
Using point slope formula: y-y1 = m(x-x1) with (x1,y1) = (-2,2) and m = -2
y - 2 = -2(x-(-2))
y - 2 = -2(x+2)
y - 2 = -2x - 4
y = -2x - 4 + 2
y = -2x - 2
Step-by-step explanation: