Given the points A(−2, 4) and B(7,−2), find the coordinates of the point P on directed line segment AB̅̅̅̅ that partitions AB̅̅̅̅ in the ratio 1:2.

Question

Please help in this subject, Partitioning Directed Segments on the Coordinate Plane

Answer 1

a partition of AB in ratio 1:2 would divide it in a 1/3

add 1/3 of 9 to -2: 3-2 = 1 for the x coordinate of point P

subtract 1/3 of 6 to 4: 4-2 = 2 for the y coordinate of point P

P is (1,2)