Question

Find the coordinates of point P which divides the line segment joining $A(-2,-7)$ and $B(6,1)$ in the ratio $5:3$

Answer 1

Let $P=(x,y)$

$\Rightarrow x=\frac{5.6+3.(-2)}{5+3}=\frac{30-6}{8}=3$

$y=\frac{1.5+3.(-7)}{8}=\frac{5-21}{8}=-2$

$\therefore P=(3,-2)$

Hence, the answer is $(3,-2).$