Question

Given $A\left(4,-3\right)$, $B\left(8,5\right)$. Find the coordinates of the point that divides segment $\text{A}B$ in two equal parts.

Answer 1

Using the section formula, if a point $(x,y)$ divides the line joining the points $(x_1,y_1)$ and $(x_2,y_2)$ in the ratio $m:n$, then

$(x,y)=(\frac{m{x}_2+n{x}_1}{m+n},\frac{m{y}_2+n{y}_1}{m+n})$

& in case of mid point we have $m:n=1:1$.

Given points:

$A(4,-3)$ and $B(8,5)$,

Coordinates of mid point $=(\frac{4+8}{2},\frac{-3+5}{2})=(6,1)$