Y - 3 = 8/3(x + 2)...the slope here is 8/3. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So our perpendicular line will have a slope of -3/8
y - y1 = m(x - x1) slope(m) = -3/8 (-2,3)....x1 = -2 and y1 = 3 now we sub y - 3 = - 3/8(x - (-2)...not done yet y - 3 = -3/8(x + 2) <===