Mathematics, 12.07.2019 07:00 matthewsorrow02
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (hint: let (x, y) be the unknown endpoint. apply the midpoint formula, and solve the two equations for x and y.) midpoint (-6,-14) endpoint (0,-11) the other end point
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![\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{x}~,~\stackrel{y_1}{y})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{-11}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{0+x}{2}~~,~~\cfrac{-11+y}{2} \right)~~=~~\stackrel{midpoint}{(-6,-14)}\implies \begin{cases} \cfrac{0+x}{2}=-6\\[0.8em] 0+x=-12\\ \boxed{x=-12}\\[-0.5em] \hrulefill\\ \cfrac{-11+y}{2}=-14\\[0.8em] -11+y=-28\\ \boxed{y=-17} \end{cases}](/tpl/images/0080/0237/2767a.png)
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Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (hin...
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