Answer :
Answer:
P(3,0)
Step-by-step explanation:
We want to find the coordinates of P(x,y), that partitions [tex]\overline{AB}[/tex] in the ration m:n=2:1.
where [tex](x_1,y_1)=A(-3,-2)[/tex] and [tex](x_2,y_2)=B(6,1)[/tex].
This is given by:
[tex]x=\frac{mx_2+nx_1}{m+n}[/tex]
[tex]y=\frac{my_2+ny_1}{m+n}[/tex]
We substitute the values to get:
[tex]x=\frac{2*6+1*-3}{2+1}[/tex]
[tex]x=\frac{9}{3}=3[/tex]
[tex]y=\frac{2*1+1*-2}{2+1}[/tex]
[tex]y=\frac{2-2}{2+1}[/tex]
[tex]y=\frac{0}{3}=0[/tex]
The coordinates are (3,0)