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# help

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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.

off-topic
Nov 25, 2018
edited by Leaded  Nov 25, 2018

#1
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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 $$\boxed{(-2,-9)}$$ .

Nov 25, 2018

#1
+3830
+3
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 $$\boxed{(-2,-9)}$$ .