Answer:
(1, -7)
Step-by-step explanation:
If we divide a line segment AB from (x₁, y₁) to (x₂, y₂) in the ratio 5:3, the coordinates at the midpoint (M) are
M = {(5x₂ + 3x₁)/8, (5y₂ + 3y₁)/8}.
A = (-4, -2), B = (4, -10)
M = {[5×4 + 3(-4)]/8, [5(-10) + 3(-2)]/8}
M = {(20 – 12)/8, (-50 - 6)/8}
M = (8/8, -56/8)
M = (1, -7)
The graph shows M as the green point at (1, -7), and the ratio AM:MB = 5:3.
