Question

Given the points A(-2, 5) and B(2, 3), find the coordinates of the point P on directed line segment AB that partitions AB in the ratio of 3: 5. Write the answer in lowest simplified fraction if necessary.

Answer 1

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

$x = \frac{x1 + rx2}{1 + r} y = \frac{y1 + ry2}{1 + r}$

Process

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

$x = \frac{-2 + 6/5}{5+3/5} y = \frac{5 9/5}{5 + 8/ 5}$

$x = \frac{-10 + 6/5}{8/5} y = \frac{25 + 9/5}{8/5}$

$x = \frac{-4}{8} y = \frac{17}4}$

x = -1/2                                                           y = 17/4