Question

Select the equations that are parallel and perpendicular to y = 1/4 x + 7 and that pass through the point (-8, 9).

parallel: y =1/4 x - 11
perpendicular: y = -4x + 23

parallel: y = -4x + 11
perpendicular: y = 1/4 x - 4

parallel: y = 4x - 7
perpendicular: y = -1/4 x - 7

parallel: y = 1/4 x + 11
perpendicular: y = -4x - 23

Answer 1

Two parallel lines: same slope.
Two perp. lines: product of slopes = -1.

Check this and you have the answer!

Answer 2

BTW, this only narrows down your choices to two.
You have to do something with (-8, 9) to make the final choice ;)