Answer:
y = - 2/3 x + 7 1/3
Step-by-step explanation:
coordinate of midpoint of ar (difference of x/2, difference of y/2)
= -2 +(6 - (-2))/2 , 0 + (12 - 0) / 2) = (2 , 6)
slope of ar = (12 - 0) / (6 - (-2)) = 12 / 8 = 3/2
slope of perpendicular line = - 2/3
For line pass (2, 6) y = mx + b m= - 2/3
b = y - mx = 6 - (- 2/3) x 2 = 22/3
equation: y = - 2/3 x + 7 1/3
check: (2 , 6) y = (-2/3) x 2 + 7 1/3 = - 4/3 + 22/3 = 18/3 = 6
