Mathematics, 12.07.2019 17:30 poohbyar29
The midpoint of ab is (-2, 2). the coordinates of point a are (-7,2) .what are the coordinates of point b
Answers: 1
![\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{-7}~,~\stackrel{y_1}{2})\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-7}{2}~~,~~\cfrac{y+2}{2} \right)~~=~~\stackrel{midpoint}{(-2,2)}\implies \begin{cases} \cfrac{x-7}{2}=-2\\\\ x-7=-4\\ \boxed{x=3}\\[-0.5em] \hrulefill\\ \cfrac{y+2}{2}=2\\\\ y+2=4\\ \boxed{y=2} \end{cases}](/tpl/images/0081/7033/ca714.png)
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