Question

Write an equation in slope-intercept form (y=mx+b) for a line that passes through (-8, 1) and is perpendicular to y = 2x - 17

Answer 1

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