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 $\frac{2}{1}$.

• A. $(3,0)$
• B. $(2,0)$
• C. $(4,0)$
• D. None of these

Answer 1

The correct option is A $(3,0)$

By using section formula

$P\left(x\right)=\frac{2\times 6+1(-3)}{2+1}$

$P\left(x\right)=\frac{12+(-3)}{3}=\frac{9}{3}=3$

$P\left(y\right)=\frac{(2\times 1)+1(-2)}{3}=\frac{2-2}{3}=0$

$\therefore P(3,0)$