Question

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.

A (8,6), B(-2,-9); 3 to 2
The coordinates of point P are

Answer 1

`P = (2,-3)`

Explanation:

Given

`m : n = 3 : 2`

`A = (8,6)`

`B = (-2,-9)`

Required

The coordinate of {

This is calculated as:

`P = ((mx_2 + nx_1)/(m + n),(my_2 + ny_1)/(m + n))`

So, we have:

`P = ((3*-2 + 2*8)/(3 + 2),(3*-9 + 2*6)/(3 + 2))`

`P = ((10)/(5),(-15)/(5))`

`P = (2,-3)`