x + 5y = 14 5y = -x + 14 y = -1/5x + 14/5.....the slope here is -1/5. A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign. So our perpendicular slope will be 5. See how I flipped -1/5 making it -5/1...and then changed the sign, making it 5.
y = mx + b slope(m) = 5 (-5,-2)....x = -5 and y = -2 now we sub and find b, the y int -2 = 5(-5) + b -2 = -25 + b -2 + 25 = b 23 = b
