Mathematics, 04.09.2019 02:10 asuhdude57
Point m is the midpoint of ab. the coordinates of point a are(-6, 3) and the coordinates of m are
(-2,3). what are the coordinates of point b?
the coordinates of point b are
Answers: 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}](/tpl/images/0222/2923/56ffa.png)
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Point m is the midpoint of ab. the coordinates of point a are(-6, 3) and the coordinates of m are
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