Points Coordinates, Geometry

Question

Point A has coordinates (8, 2). Point B has coordinated (2,-10). Find the coordinates of point P that partitions segment AB in a ratio of 5:1. (Give your answer in an ordered pair)

Answer 1

8-2=6

5/6 x 6 = 5

8-5 = 3 is the x coordinate of P

2--10=12

5/6 x 12 = 10

2-10 = -8 is the y coordinate of P

P= (3,-8)