Question

Find the co-ordinate of the midpoint of the line segment joining points $(4,7)$ and $(2,-3)$.

Answer 1

Mid point of line joining points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}).$

Let the midpoint of the given points be $(h,k),$

$\begin{array}{cc}\left(h,k\right)& =\left(\frac{4+2}{2},\frac{7-3}{2}\right)\\ & =\left(\frac{6}{2},\frac{4}{2}\right)\\ & =\left(3,2\right)\end{array}$

Hence, midpoint of line segment joining $(4,7)$ and $(2,-3)$ is $(3,2).$