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
The answer for this is (2,3)
Slope is the change in y over the change in x:
Slope = (y2 - y1) / (x2-x1)
Replace the letters in the equation with the given information:
1/2 = (1 - -1) / (15 -r)
Cross multiply:
1 * (15-r) = 2 * (1- -1)
Simplify:
15 -r = 4
Subtract 15 from each side:
-r = -11
Because r is negative, you need to multiply both sides by -1 to make r positive:
r = 11
