Question

Which point lies on the line

Answer 1

The point (5,-8) or D lies on the line

Answer 2

y + 8 = 4(x - 5)

distribute the 4 to both x and -5

4(x) = 4x
4(-5) = -20

y + 8 = 4x - 20

isolate the y, subtract 8 from both sides

y + 8 (-8) = 4x - 20 (-8)

y = 4x - 28

plug in the x given, if the y matches the answer given, it is the correct answer.

-8 = 4(5) - 28

-8 = 20 - 28

-8 = -8 (True)

D) (5,-8) should be your answer

hope this helps