Question

If points (–5, 6) and (11, –2) represent the endpoints of the diameter of circle D, then which point represents the center (midpoint) of circle D

Answer 1

`~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{11}~,~\stackrel{y_2}{-2}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 11 -5}{2}~~~ ,~~~ \cfrac{ -2 +6}{2} \right) \implies \left(\cfrac{ 6 }{2}~~~ ,~~~ \cfrac{ 4 }{2} \right)\implies (3~~,~~2)`