Question

Select the equations that are parallel and perpendicular to y = one over fourx + 7 and that pass through the point (-8, 9).

parallel: y = one over fourx - 11
perpendicular: y = -4x + 23
parallel: y = -4x + 11
perpendicular: y = one over fourx - 4
parallel: y = 4x - 7
perpendicular: y = negative one over fourx - 7
parallel: y = one over fourx + 11
perpendicular: y = -4x - 23

Answer 1

y = 1/4x + 7
parallel lines will have the same slope.
So all the answer choices that do not have y = 1/4x + something are out.

In what is left, since the point (-8,9) is a point on the parallel line, put x = -8 and y = 9 and see if the equation is valid. If yes, that is your answer.