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The midpoint of a line segment is located at (1,-2). If one of the endpoints is (4,5) , what is the other endpoint? Express your answer as an ordered pair.

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Leaded  Nov 25, 2018
edited by Leaded  Nov 25, 2018

Best Answer 

 #1
avatar+3438 
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We know the midpoint formula is \((\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\) . Plugging our values in, we get \((\frac{4+x_2}{2}, \frac{5+y_2}{2})=(1,-2)\) . Solving for \(x_2,\) we attain \(\frac{4+x_2}{2}=1, 4+x_2=2, x_2=-2\) and \( \frac{5+y_2}{2}=-2, 5+y_2=-4, y_2=-9\) . Thus, the order pair is \(\boxed{(-2,-9)}\) .

tertre  Nov 25, 2018
 #1
avatar+3438 
+3
Best Answer

We know the midpoint formula is \((\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\) . Plugging our values in, we get \((\frac{4+x_2}{2}, \frac{5+y_2}{2})=(1,-2)\) . Solving for \(x_2,\) we attain \(\frac{4+x_2}{2}=1, 4+x_2=2, x_2=-2\) and \( \frac{5+y_2}{2}=-2, 5+y_2=-4, y_2=-9\) . Thus, the order pair is \(\boxed{(-2,-9)}\) .

tertre  Nov 25, 2018

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