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

PD = d,
AP = 2d,

AP/AD = 2d/(d+2d) = 2d/3d = 2/3.
AP/AD = 2/3,
AP = (2/3)AD.

x -1 = @/3(7-1),
x -1 = 4,
X = 4+1 = 5.

y-4 = 2/3(13-4),
y-4 = 6,
Y = 6 + 4 = 10.

P(5,10).

Answer 2

Correction: x-1 = 2/3(7-1).