Find the coordinates of P so that P partitions the segment AB in the ratio 3:1 if A(0,7) and B(-4,2).

Answer 1

It depends on which side of the line segment you want the ratio to start?

The equation of the line segment is (5/4)x + 7.

You see from inspection that 1/4 of the distance for the x coordinate on the left is -3 and

1/4 of the distance for the x coordinate on the right is -1.

So you plug the plug the x coordinate into the equation to find the y coordinate. When you do that you get

The coordinate pair is (-1,23/4) and (-3,3.25).