The midpoint of segment AB is M(26, -111). The coordinates of one endpoint is

2 answers:

7 0

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
A(\stackrel{x_1}{31}~,~\stackrel{y_1}{25})\qquad
B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y})
\qquad
\left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{x+31}{2}~~,~~\cfrac{y+25}{2} \right)=\stackrel{\stackrel{midpoint}{M}}{(26,-111)}\implies \begin{cases}
\cfrac{x+31}{2}=26\\[0.8em]
x+31=52\\
\boxed{x=21}\\[-0.5em]
\hrulefill\\
\cfrac{y+25}{2}=-111\\[0.8em]
y+25=-222\\
\boxed{y=-197}
\end{cases}$

butalik [34]2 years ago

4 0

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