Question

Given the points P(2,-1) and Q(-9,-6), what are the coordinates of the point on directed line segment PQ that partitions PQ in the ratio 3/2?

Answer 1

ANSWER

$( - \frac{23}{5} , - 4)$

EXPLANATION

Given the points P(2,-1) and Q(-9,-6),the coordinates of the point that partition the directed line segment PQ in the ratio 3:2 is given by

$x = \frac{ mx_2+nx_1}{m + n}$

$y= \frac{ my_2+ny_1}{m + n}$

Where m=3 and n=2

$x = \frac{ 3 ( - 9)+2(2)}{3+ 2}$

$x = \frac{ - 23}{5}$

$y= \frac{ 3( - 6)+2( - 1)}{3 + 2}$

$y= \frac{ - 20}{5} = - 4$

The point is

$( - \frac{23}{5} , - 4)$