Question

A has coordinates (3,6)

B has coordinates (-5, 8)
Work out the coordinates of the midpoint of AB.
4

Answer 1

`~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{3}~,~\stackrel{y_1}{6})\qquad B(\stackrel{x_2}{-5}~,~\stackrel{y_2}{8}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -5 +3}{2}~~~ ,~~~ \cfrac{ 8 +6}{2} \right) \implies \left(\cfrac{ -2 }{2}~~~ ,~~~ \cfrac{ 14 }{2} \right)\implies {\Large \begin{array}{llll} (-1~~,~~7) \end{array}}`