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Q. 29

Expert-verifiedFound in: Page 616

Book edition
Common Core Edition

Author(s)
Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages
183 pages

ISBN
9780547587776

** ****Find the midpoint of the segment with the given endpoints.**

**$\left(-3,\text{\hspace{0.33em}}4\right),\text{\hspace{0.33em}}\left(4,\text{\hspace{0.33em}}-2\right)$**

The midpoint of the segment with the endpoints$\left(-3,4\right),\left(4,-2\right)$ is$\left(\frac{1}{2},1\right)$ .

The given endpoints are$\left(-3,4\right),\left(4,-2\right)$ .

The midpoint of the segment with the endpoints $\left({x}_{1},{y}_{1}\right),\left({x}_{2},{y}_{2}\right)$is $\left(\frac{{x}_{1}+{x}_{2}}{2},\frac{{y}_{1}+{y}_{2}}{2}\right)$.

To find midpoint of the segment, substitute$\left({x}_{1},{y}_{1}\right)=\left(-3,4\right)$ and$\left({x}_{2},{y}_{2}\right)=\left(4,-2\right)$ into the midpoint formula then simplify it.

$\begin{array}{l}\left(\frac{{x}_{1}+{x}_{2}}{2},\frac{{y}_{1}+{y}_{2}}{2}\right)=\left(\frac{-3+4}{2},\frac{4-2}{2}\right)\\ \left(\frac{{x}_{1}+{x}_{2}}{2},\frac{{y}_{1}+{y}_{2}}{2}\right)=\left(\frac{1}{2},1\right)\end{array}$

The midpoint of the segment with the endpoints $\left(-3,4\right),\left(4,-2\right)$is$\left(\frac{1}{2},1\right)$ .

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