Question

Find the coordinates of M, the midpoint of AB, for each pair of points.

A (1,2) and B (-3,6)

Answers:
(-1,4)
(3.5,7)
(4,-1)
(7,-3.5)

Answer 1

`~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{-3}~,~\stackrel{y_2}{6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -3 +1}{2}~~~ ,~~~ \cfrac{ 6 +2}{2} \right) \implies \left(\cfrac{ -2 }{2}~~~ ,~~~ \cfrac{ 8 }{2} \right)\implies (-1~~,~~4)`