Question

Given the points A(-1, 2) and B(7, 8), determine the coordinates of point P on directed line segment stack A B with bar on top that partitions stack A B with bar on top in a ratio of 1/3.

Answer 1

P(1, 3.5)

Explanation:

Point P is the weighted average of the coordinates of the end points of segment AB. The weights are the reverse of the relative segment lengths.

P = (3A +1B)/(3+1)

P = (3(-1, 2) +(7, 8))/4 = (-3+7, 6+8)/4

P = (1, 3.5)