Question

Find the coordinates of point PP along the directed line segment ABAB, from A(8, 0)A(8, 0) to B(3,−2)B(3,−2), so that the ratio of APAP to PBPB is 11 to 44. A(8, 0), B(3,−2)A(8, 0), B(3,−2) The coordinates are P

Answer 1

Let the coordinate of P be (x, y), then
(x, y) = ((44(8) + 11(3))/(11 + 44), ((44(0) + 11(-2))/(44 + 11)) = ((352 + 33)/55, -22/55) = (7, -0.4)

The coordinates of P are (7, -0.4)