Answer:
The answer to your question is (-1/3, 2)
Step-by-step explanation:
Data
A (-2, 0)
B (5, 8)
ratio = 1/3
Formula
x = [tex]\frac{x1 + rx2}{1 + r}[/tex]
y = [tex]\frac{y1 + ry2}{1 + r}[/tex]
Substitution
x = [tex]\frac{-2 + (1/3)(5)}{1 + 1/3}[/tex]
x = (-2 + 5/3) / (3 + 1) / 3
x = (-6 + 5)/3 / 4 / 3
x = - 1 / 3
y = [tex]\frac{0 + (1/3)(8)}{1 + 1/3}[/tex]
y = (8 / 3) / (3 + 1) / 3
y = (8 / 3) / (4 / 3)
y = 8 / 4
y = 2
Point = (-1/3, 2)
