Find an equation of the line perpendicular to the graph of 1

Find an equation of the line perpendicular to the graph of 15x - 5y = 7 that passes through the point at (0, -4) a. y = -1/3 x + 4 b. y = -1/3 x - 4 c. y = 3x - 4 d. y = 1/3 x - 4 Please select the best answer from the choices provided A B C D

Solution

15x-5y=7

y=3x-7/5

slope of this line=3

slope of perpendicular line=-1/3

using point slope form

y+4=(-1/3)(x-0)

y=(-1/3)x-4

correct option is d