Question

What are the coordinates of the midpoint of segment CD where C(2, -6) and D(4, 10).

Answer 1

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ C(\stackrel{x_1}{2}~,~\stackrel{y_1}{-6})\qquad D(\stackrel{x_2}{4}~,~\stackrel{y_2}{10}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{4+2}{2}~~,~~\cfrac{10-6}{2} \right)\implies \left( \cfrac{6}{2}~,~\cfrac{4}{2} \right)\implies (3,2)$