Question

A(-3, -2) and B(6, 1), determine the coordinates of point P on directed line segment stack A B with bar on top that partitions stack A B with bar on top in a ratio of 2:1

Answer 1

Answer:

P(3,0)

Step-by-step explanation:

We want to find the coordinates of P(x,y), that partitions $\overline{AB}$ in the ration m:n=2:1.

where $(x_1,y_1)=A(-3,-2)$ and $(x_2,y_2)=B(6,1)$.

This is given by:

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

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

We substitute the values to get:

$x=\frac{2*6+1*-3}{2+1}$

$x=\frac{9}{3}=3$

$y=\frac{2*1+1*-2}{2+1}$

$y=\frac{2-2}{2+1}$

$y=\frac{0}{3}=0$

The coordinates are (3,0)