Question

Please help me, I have no idea what the equation for the new path is.

Thank you!!

Answer 1

First, find the slope of the initial line;

m=(y₁-y₂)/(x₁-x₂)

m=(4-0)/(11-8)
m=4/3

If two lines are parallel, the slope is the same although the intercept can differ.

If this parallel lines passes through the point (4, 5);

y=(4/3)x+c <-- plug in coordinates to solve for c
5=(4/3)(4)+c
(15/3)=16/3+c
(15/3)-(16/3)=c
-1/3=c

Therefore, the final equation should be y=4/3x-1/3

Hope I Helped :)