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The endpoints of line [tex]CD[/tex] are [tex]C(1,-6)[/tex] and [tex]D(7,5)[/tex]. Find the coordinates of the midpoint [tex]M[/tex].

Answer :

[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ C(\stackrel{x_1}{1}~,~\stackrel{y_1}{-6})\qquad D(\stackrel{x_2}{7}~,~\stackrel{y_2}{5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{7+1}{2}~~,~~\cfrac{5-6}{2} \right)\implies \left( \cfrac{8}{2}~,~\cfrac{-1}{2} \right)\implies \stackrel{M}{\left( 4~,~-\frac{1}{2} \right)}[/tex]

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