4x + 5y = 31 5y = -4x + 31 y = -4/5x + 31/5...the slope here is -4/5. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we need is 5/4 (see how I flipped the slope and changed the sign)
y = mx + b slope(m) = 5/4 (-1,-7)...x = -1 and y = -7 now we sub and find b, the y int -7 = 5/4(-1) + b -7 = -5/4 + b -7 + 5/4 = b -28/4 + 5/4 = b - 23/4 = b
so ur perpendicular line will be : y = 5/4x - 23/4
