Parallel lines have the same slope.
m = (y2-y1)/(x2-x1)
m = (-3-3)/(4-0)
m = -6/4 = -3/2
Substitute the values in y = mx + c,
-5 = (-3/2)(6) + c
-5 = -9 + c
c = 4
y = (-3/2)x + 4
Thus, Option D is the correct answer
