BabydollAdri BabydollAdri
  • 29-08-2018
  • Mathematics
contestada

m is the midpoint of jk. find the y coordinate of k if j(-8,4) and m(-3,2)

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jdoe0001 jdoe0001
  • 29-08-2018

[tex] \bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
j(\stackrel{x_1}{-8}~,~\stackrel{y_1}{4})\qquad
k(\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+4}{2} \right)~~=~~\stackrel{m}{(-3,2)}\implies
\begin{cases}
\cfrac{x-8}{2}=-3\\[0.8em]
x-8=-6\\
\boxed{x=2}\\[-0.5em]
\hrulefill\\
\cfrac{y+4}{2}=2\\[0.8em]
y+4=4\\
\boxed{y=0}
\end{cases} [/tex]

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