Question

Find the coordinates of the point which divides the line segment joining $(-3,5)$ and $(4,-9)$ in the ratio $1:6$ internally.

Answer 1

By section formula coordinate of required point is $P(\frac{l{x}_2+m{x}_1}{l+m},\frac{l{y}_2+m{y}_1}{l+m})$.

Substituting the points $(-3,5)$ and $(4,-9)$ in formula:

$P(\frac{-18+4}{1+6},\frac{30-9}{1+6})=P(-2,3)$