Question

Point P is located on the segment between point A(1, 4) and point D(7, 13). The

distance from A to P is twice the distance from P to D. What are the coordinates
of point P?

Answer 1

(5, 10)

Explanation:

If AP : PD = 2 : 1, then ...

P = (2D +1A)/(2+1)

P = (2(7, 13) +(1, 4))/3 = (14+1, 26+4)/3 = (5, 10)

The coordinates of point P are (5, 10).