Answer:
The answer to your question is: Point (-1/2 , 17/4)
Step-by-step explanation:
Data
A(-2, 5)
B (2, 3)
ratio 3:5 r = 3/5
Formula
[tex]x = \frac{x1 + rx2}{1 + r} y = \frac{y1 + ry2}{1 + r}[/tex]
Process
x = [tex]x = \frac{-2 + (3/5)2}{1 + 3/5} y = \frac{5 + (3/5)3}{1 + (3/5)}[/tex]
[tex]x = \frac{-2 + 6/5}{5+3/5} y = \frac{5 9/5}{5 + 8/ 5}[/tex]
[tex]x = \frac{-10 + 6/5}{8/5} y = \frac{25 + 9/5}{8/5}[/tex]
[tex]x = \frac{-4}{8} y = \frac{17}4}[/tex]
x = -1/2 y = 17/4
