Write a linear equation that is passing through (-2,8) and is perpendicular to y=2x+5

Answer 1

a perpendicular line has slope = the negative inverse. change the sign of 2 and flip it upside down: -1/2

y=-x/2 + b, to calculate b plug in the point

8 = -(-2)/2 + b

b = 8-1 = 7

y=(-1/2)x + 7 is the perpendicular line through the given point