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Find the midpoint of the segment connecting the points (6,-8) and (-2,4)

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asked Sep 14, 2019 129k views

2 votes

Find the midpoint of the segment connecting the points (6,-8) and (-2,4)

Mathematics
high-school

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$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 6 &,& -8~) % (c,d) &&(~ -2 &,& 4~) \end{array}\qquad % coordinates of midpoint \left(\cfrac{ x_2 + x_1}{2}\quad ,\quad \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{-2+6}{2}~~,~~\cfrac{4-8}{2} \right)\implies \left(\cfrac{4}{2}~~,~~\cfrac{-4}{2} \right)\implies (2~,-2)$

Sarora answered Sep 18, 2019