Consider the line y= 5x-3

Find the equation of the line that is parallel to this line and passes through the point (8,-6)
Find the equation of the line that is perpendicular to this line and passes through the point (8,-6)

do y=5x+b and plug in (8,-6) to find a line parallel to it.

do y=-1/5x+b and plug in (8,-6) to ind a line perpendicular to it

parallel:
y=5x-46

perpendicular:
y=-1/5x+7 3/5

parallel:
y+6=5(x-8)
y+6=5x-40
y=5x-46

perpendicular:
y+6=-1/5x(x-8)
y+6=-1/5x+8/5
y=-1/5x+38/5 or y=-1/5x+7 3/5

sorry if I'm wrong