Given point A (-9, -9) and B (5, -2) find the coordinates of point P on the directed line segment AB in the ratio 3:4.

We have point P(-3,-6).

Step-by-step explanation:

We want to find a point P(x,y).

Since it is on the directed line segment AB in the ratio 3:4, it means that:

So

We apply this to both the x-coordinate and y-coordinate of P.

x-coordinate:

x-coordinate of A: -9

x-coordinate of B: 5

x-coordinate of P: x

So

y-coordinate:

y-coordinate of A: -9

y-coordinate of B: -2

y-coordinate of P: y

So

We have point P(-3,-6).

step-by-step explanation: