Question

the line through (8,-2) perpendicular to the line y=7-2x

Answer 1

Perpendicular means it has a negative reciprocal of the slope, which means the slope with be 1/2

Answer 2

Now since u have the slope, you would plug it into the point-slope formula

Answer 3

Y-(-2)=1/2(X-8)
Y+2=1/2x-4
y=1/2x-6

Answer 4

Their is your line