Question

Find the coordinates of the mid-point of the line segment joining the points $(2,3)$ and $(4,7)$.

Answer 1

Given: $(x_1,y_1)=(2,3)$ and $(x_2,y_2)=(4,7)$

Mid-point $=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

$=(\frac{2+4}{2},\frac{3+7}{2})$

$=(\frac{6}{2},\frac{10}{2})$

$=(3,5)$.