How do i find the equstion of thid line

Question

I have to write the equation of parallel and perpendicular line ok this line y=4x-8

Answer 1

y = 4x - 8, the slope is 4

A parallel line has the same slope.

So any equation in the form

y = 4x + b (b ≠ 8) shall be parallel

A perpendicular line has the negative reciprocal as the slope

So any equation in the form

y = -x/4 + b shall be perpendicular