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Expert-verified Found in: Page 616 ### Pre-algebra

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.$\left(-3,\text{ }4\right),\text{ }\left(4,\text{ }-2\right)$

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

See the step by step solution

## Step 1. Given Information.

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

## Step 2. Formula used.

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

## Step 3. Calculation.

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.

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

## Step 4. Conclusion.

The midpoint of the segment with the endpoints $\left(-3,4\right),\left(4,-2\right)$is$\left(\frac{1}{2},1\right)$ . ### Want to see more solutions like these? 