Given the point A(-3, -2) and B(6, 1), find the coordinates of the point P on directed line segment BA that partition BA in the ratio 3:1

Answer 1

Since the ratio is to be 3:1, then P is 3/4 of the way between A and B.

Compute x coordinate that is 3/4 of the way between 6 and -3:

(-3-6) * 3/4 + 6 = -6.75 + 6 = -0.25

Compute y coordinate that is 3/4 of the way between 1 and -2:

(-2-1) * 3/4 + 1 = -2.25 + 1 = -1.25

P(-0,.25,-1.25)