Question

Given M(-2, 1) is the midpoint on AB and point A has coordinates (-8, -3), find:
Point B

Answer 1

`~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{-8}~,~\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 -8}{2}~~~ ,~~~ \cfrac{ y -3}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE M}}{(-2~~,~~1)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x -8}{2}=-2\implies x-8=-4\implies \boxed{x=4} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y -3}{2}=1\implies y-3=2\implies \boxed{y=5}`