Find a point P on the directed segment from S(-2,-5) to T(5, -3) that partitions the segment in the ratio 4 to 3.
If the ratio is 4:3, there are 7 parts.
The x-distance from (-2,-5) to (5,-3) is 5 - -2 = 7 ---> (1/7) x 7 = 1 ---> move 4 x 1 spaces to the right of -2, you end at 2
The y-distance from (-2,-5) to (5,-3) is -3 - -5 = 2 ---> (1/7) x 2 = 2/7 ---> move 4 x (2/7) space up from -5, you end at -3 6/7
The point is (2, -3 6/7)