Question

Find the coordinate of point P (rounded to the nearest tenth) that lies 2/3 of the way on the directed line segment XY, where point X is (-2, 5) and point Y is (4, 9)

Answer 1

(2, 7.7)

Explanation:

The point P that divides XY into segments such that ...

XP : PY = 2 : 1

will be the weighted average of X and Y:

P = (2Y +1X)/(2+1)

= (2(4, 9) +1(-2, 5))/3 = (6/3, 23/3) = (2, 7 2/3)

P ≈ (2, 7.7)