2x + 5y = 20 5y = -2x + 20 y = -2/5x + 4. The slope here is -2/5. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal of -2/5, we flip the slope and change the sign. So our perpendicular line will have a slope of 5/2.
y = mx + b slope(m) = 5/2 (10,-4)....x = 10 and y = -4 now we sub and find b, the y int -4 = 5/2(10) + b -4 = 25 + b -4 - 25 = b -29 = b
so our perpendicular equation is : y = 5/2x - 29 <==
