Question

Find the coordinates of the midpoint of

CN with endpoints C(-1,-3) and N (7,5).

O (2 1/2, 1/2)
O (3, 1)
O (4, 2)
O (6, 2)

Answer 1

`~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ C(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad N(\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 -3}{2} \right) \implies \left(\cfrac{ 6 }{2}~~~ ,~~~ \cfrac{ 2 }{2} \right)\implies (3~~,~~1)`