Question

In the diagram, `stackrel(harr)(PR)` and `stackrel(harr)(AC)` are vertical lines, while `bar(CB)` is a horizontal line segment. If CR : RB = 2 : 3, what are the coordinates of point Q?

Answer 1

CR:RB = 2:3

CB:CB = 2:5

AQ:AB=2:5

That means we start at A and go 2/5 along the way toward B to get Q:

$Q = (-4,-2) + \frac 2 5(1 - -4, -7 - -2) = (-4,-2) + \frac 2 5(5,-5) = (-4,-2)+(2,-2)=(-2,-4)$

Answer: Q=(-2,-4)