Question

Find the point on the directed segment from (−2, 0) to (5, 8) that divides it in the ratio of 1: 3.

Answer 1

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 = $\frac{x1 + rx2}{1 + r}$

y = $\frac{y1 + ry2}{1 + r}$

Substitution

x = $\frac{-2 + (1/3)(5)}{1 + 1/3}$

x = (-2 + 5/3) / (3 + 1) / 3

x = (-6 + 5)/3 / 4 / 3

x = - 1 / 3

y = $\frac{0 + (1/3)(8)}{1 + 1/3}$

y = (8 / 3) / (3 + 1) / 3

y = (8 / 3) / (4 / 3)

y = 8 / 4

y = 2

Point = (-1/3, 2)