Answer:
Step-by-step explanation:
(-8,1) is ⊥ to y=2x-17
from y=mx+c
comparing with
y=2x-17
m₁₌2
for perpendicularity m₂=-1/m₁
m₂₌-1/2
equation of a line with one point y-y₁/x-x₁=m
(-8,1) are x₁ and y₁ respectively
y-1/x-(-8)=-1/2
y-1/x+8=-1/2
cross multiply
2(y-1)=-1(x+8)
2y-2=-x-8
2y=-x-8+2
2y=-x-6
divide both side by 2
y=-1/2x-3