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

The answer to your question is: Point (-1/2 , 17/4)

Explanation:

Data

A(-2, 5)

B (2, 3)

ratio 3:5 r = 3/5

Formula

`x = (x1 + rx2)/(1 + r)                           y = (y1 + ry2)/(1 + r)`

Process

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

`x = (-2 + 6/5)/(5+3/5)                       y = (5  9/5)/(5 + 8/ 5)`

`x = (-10 + 6/5)/(8/5)                          y = (25 + 9/5)/(8/5)`

`x = (-4)/(8)                                        y = \frac{17}4}`

x = -1/2 y = 17/4