We are given two points
A = (2, -1)
B = (-3, 5)
Ratio = 1:2
Let the ratio be P
Therefore, P is 1:2
Slope = Rise / Run
Rise = y2 - y1
Run = x2 - x1
x1 = 2, y1 = -1, x2 = -3 and y2 = 5
P = 1 / 1+ 3
P = 1/3
The horizontal distance is the same as run
Run = x2 - x1
=-3 - 2
Run = -5
Therefore we have
P x run
1/3 x -5
= -5/3
The distance between P and A on the x - axis is
-5/3 - 2
= -11/3
Rise = y2 - y1
5 - (-1)
= 5 + 1
Rise = 6
1/3 x 6
6/3 = 2
The distance between A and P on the y axis is
2 -(-1)
=2 + 1
= 3
The points are -11/3 and 3
The answer is (-11/3, 3)
