y = 1/3x ? 6....slope here is 1/3. 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 (see how I flipped 1/3 and changed the sign)
y = mx + b slope(m) = -3 (-9,12)...x = -9 and y = 12 now we sub and find b, the y int 12 = -3(-9) + b 12 = 27 + b 12 - 27 = b -15 = b