Question

Point M is the midpoint of AB. The coordinates of point A are(-6, 3) and the coordinates of M are

Answer 1

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{-6}~,~\stackrel{y_1}{3})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x-6}{2}~~,~~\cfrac{y+3}{2} \right)~~=~~\stackrel{\stackrel{Midpoint}{M}}{(-2~,~3)}\implies \begin{cases} \cfrac{x-6}{2}=-2\\[1em] x-6=-4\\ \boxed{x=2}\\ \cline{1-1} \cfrac{y+3}{2}=3\\[1em] y+3=6\\ \boxed{y=3} \end{cases}$