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# Liberal Arts Math Question #5

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One endpoint of a line segment is at (−3, 1). The line is bisected by placing the midpoint of the line segment at (5, −3). What are the coordinates of the other endpoint?

A.) (-11,5)

B.) (1,-1)

C.) (10,-6)

D.) (13,-7)

Redsox123  May 11, 2017
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One endpoint of a line segment is at (−3, 1).

The line is bisected by placing the midpoint of the line segment at (5, −3).

What are the coordinates of the other endpoint?

$$\begin{array}{|lrcll|} \hline \frac{-3+x}{2} &=& 5 \\ -3+x &=& 10 \\ x &=& 13 \\\\ \frac{1+y}{2} &=& -3 \\ 1+y &=& -6 \\ y &=& -7 \\ \hline \end{array}$$

The coordinates of the other endpoint is (13, -7)

heureka  May 11, 2017