Question

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

Answer 1

Answer:

$P = (2,-3)$

Step-by-step explanation:

Given

$m : n = 3 : 2$

$A = (8,6)$

$B = (-2,-9)$

Required

The coordinate of {

This is calculated as:

$P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

So, we have:

$P = (\frac{3*-2 + 2*8}{3 + 2},\frac{3*-9 + 2*6}{3 + 2})$

$P = (\frac{10}{5},\frac{-15}{5})$

$P = (2,-3)$