3. Given the points E(-3, -4) and F(5, 0), find the coordinates of the point P on the directed line segment that partitions using the ratio 2:3.

Answer 1

let it be point P(x,y)
I will assume that EP : PF = 2 : 3

for the x:
(x+3)/2 = (5-x)/3
3x + 9 = 10 - 2x
5x = 1
x = 1/5

Find y in the same way

You can test your answer by finding EP and PF