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find the missing endpoint given one endpoint and midpoint
2)
endpoint- ( -4,1) midpoint-(-1,3)

Sagot :

Lilith
[tex]endpoint: \ ( x_{2},y_{2})= (-4,1) , \\ midpoint : \(x,y)=(-1,3) \\\\Mindpoint \ Formula : \\ (x,y)=\left ( \frac{x_{1}+x_{2} }{2}, \frac{y_ {1}+y_{2} }{2} \right )\\\\(-1,3)=\left ( \frac{x_{1}-4 }{2}, \frac{y_ {1}+1 }{2} \right )[/tex]

[tex]\begin{cases} \frac{x_{1}-4 }{2}= -1 \ \ /\cdot 2 \\ \frac{y_ {1}+1 }{2} =3 \ \ / \cdot 2 \end{cases}\\\\\begin{cases} x_{1}-4 =-2 \\ y_ {1}+1 =6\end{cases}\\ \\\begin{cases} x_{1} =-2+4 \\ y_ {1} =6-1 \end{cases}\\ \\\begin{cases} x_{1} =2\\ y_ {1} =5 \end{cases} \\ \\Answer : \ second \ endpoint : \ (x_{1},y_{1})=(2,5) [/tex]

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