Question

Find coordinate of mid point of line segment of joining point
A(6,-2) B (-2,8)

Answer 1

$The \:mid \: point \:M(x,y) \:of \: the \:line$

$segment \: joining \:the\: points \: (x_{1},y_{1})$

$and \: (x_{2},y_{2})$

$M(x,y) = \Big( \frac{x_{1} + x_{2}}{2} , \frac{y_{1} + y_{2}}{2}\Big)$

$\red{ \therefore The \:mid \: point \:of \:the\:line }$

$\red{segment \: joining \:the \: points \: A(6,-2) }$

$\red{ B(-2,8) \:is }$

$M(x,y) = \Big( \frac{6-2}{2}, \frac{-2+8}{2} \Big)$

$= \Big( \frac{4}{2} , \frac{6}{2}\Big)$

$\green{ = ( 2,3 )}$

Therefore.,

$\red{ Mid \: point \:of \:line \: segment \:AB}$

$\green{ = ( 2,3 )}$

•••♪