Answer:
Step-by-step explanation:
A line that is perpendicular will have a slope that is the negative inverse of the reference line slope. Rewrite y-2x+9=0 as y =mx+b:
y = 2x-9 This line has a slope of 2 and a y-intercept of -9. A perpendicular line to this will have a slope that is the negative inverse of 2, that is, -(1/2).
y=-(1/2)+b
We don't know b, but can find it by entering the x and y for the known point and solve for b:
Point: (7, -6)
y=-(1/2)+b
-6 = -(1/2)*(7)+b
-6 = -(7/2) + b
b = -6 + (7/2)
b = -2.5
The equation is y = -(1/2)x - 2.5
