Question

Select the pair of equations whose graphs are perpendicular.

A.) 5x - 8y = 9
12x - 5y = 7

B.) 3x + 6y = 8
y = 3x - 8

C.) y = 2x - 7
x + 3y = 3

D.) 2y = -3x + 5
2x - 3y = 4

Answer 1

D. The lines intersect to form perpendicular.

Answer 2

you know that 2 lines are perpendicular when the fulfil
m1*m2 = -1
from D.)

m1 = -3/2
m2 = 2/3
so
m1*m2 = -3/2*2/3 = -1
this conclude that they are perpendicular each other