Question

Given the points A(-3, -2) and B(6, 1), determine the coordinates of point P on directed line segment that partitions in the ratio 2/1.

Answer 1

Answer:

$P = (3,0)$

Step-by-step explanation:

Given

$A = (-3,-2)$ ---- $(x_1,y_1)$

$B = (6,1)$ --- $(x_2,y_2)$

$m:n =2:1$

Required

The coordinates of P

This is calculated as:

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

So:

$P = (\frac{2*6+1*-3}{2+1},\frac{2*1+1*-2}{2+1})$

$P = (\frac{9}{3},\frac{0}{3})$

$P = (3,0)$