The diagram shows MN segment graphed on a coordinate plane. Point P lies on MN segment and is 3/4 of the way from M to N. What are the coordinates of the point P?

Question

these are points on graph M(-4, 4), N(6,-2)

Answer 1

M(-4,4), P(x,y), N(6,-2).

x - (-4) = 3/4(6 - (-4).
x + 4 = 3/4(6+4).
X + 4 = 30/4 = 7 1/2.
X = 7/2 = 3 1/2 = 3.5

y-4 = 3/4(-2-4).
y-4 = -18/4 = -4 1/2.
Y = -1/2 = -0.5

P(3.5,-0.5).

Answer 2

Can you explain why you used this equation please?