Question

Given the points A(-1, 2) and B(7, 14), find the coordinates of the point P on directed line segment stack A B with bar on top that partitions stack A B with bar on top in the ratio 1:3. Show your work.

Answer 1

(1, 5)

Explanation:

The desired point is the weighted average of the end point coordinates. The weights are the reverse of the relative line segment lengths.

P = (3A +1B)(3+1) = (3(-1, 2) +(7, 14))/4 = (-3+7, 6+14)/4 = (1, 5)

The point of interest is (1, 5).