Question

Point J is located at (2, 1) and point K is located at (10,-5).

Find the midpoint of line segment JK.

Answer 1

`~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ J(\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad K(\stackrel{x_2}{10}~,~\stackrel{y_2}{-5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 10 +2}{2}~~~ ,~~~ \cfrac{ -5 +1}{2} \right) \implies \left(\cfrac{ 12 }{2}~~~ ,~~~ \cfrac{ -4 }{2} \right)\implies (6~~,~-2)`