write down the equation of the line that is perpendicular to y=2x-9 and passes through (4,0)

Question

i’m so stuck on how to get the y intercept of the perpendicular line!!! pls help

Answer 1

the perpendicular line has a negative inverse slope =-1/2

y=-x/2 +b, plug in the point x=4, y=0 to solve for b=y intercept

0=-4/2 +b

b =4/2= 2 = y intercept

y =-x/2+2 is the perpendicular line through (4,0)