pre-calculus algebra need help answering the question

Question

Select the all of the lines that are perpendicular to the line 14x - 2y = 8, passing through the point (-5, -9).

Select one or more:

A. x + 7y = -68

B. y = 7x + 58

C. 7x + 7y = 68

D. x + 7y = 68

E. y = (1/7)x + 68/7

F. y = (-1/7)x - 68/7

G. x + 7y = -58

H. y = (-1/7)x - 58/7

Answer 1

So for this problem, try to set y = Mx+b form to find slope, and the opposite reciprocal for the slope is the m value in the new equation which is perpendicular to the given line. Also, there is a point given, so plug that point into the new equation to find the b value. This will give you the equation perpendicular to the given line.