Question

Given the points A(-3, -2) and B(12, 3), 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 3/2.

Answer 1

P(6, 1)

Explanation:

Point P is the weighted average of the end point coordinates. The weights are the reverse of the order of the segment lengths:

P = (2A +3B)/(2+3)

P = (2(-3, -2) +3(12, 3))/5 = (-6+36, -4+9)/5

P = (6, 1)