General Equation: y = mx + b
y = -2x + 8
slope = -2
Slope of perpendicular line = 1/2
Equation with slope found : y = 1/2 x + b
At point (4, -2)
-2 = 1/2 (4) + b
-2 = 2 + b
b = -2 -2
b = -4
Equation with slope and y-intercept found: y = 1/2 x - 4
Answer: y = 1/2 x - 4