Book edition Common Core Edition

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

Pages 183 pages

ISBN 9780547587776

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Short Answer

Find the midpoint of the segment with endpoints $(- 7, 5)$ and $(4, - 20)$ .

The coordinate of midpoint is $(- \frac{3}{2}, - \frac{15}{2})$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information.

The endpoints are:

$(- 7, 5)$ and $(4, - 20)$

Step 2. Property used.

Mid-point formula.

$x = \frac{x_{1} + x_{2}}{2}$ , $y = \frac{y_{1} + y_{2}}{2}$

Step 3. Calculation.

Let mid-point be $(x, y)$ .

End-points: $(- 7, 5)$ , $(4, - 20)$

Find x-coordinate of mid-point.

$\begin{matrix} x = \frac{x_{1} + x_{2}}{2} \\ = \frac{- 7 + 4}{2} \\ = - \frac{3}{2} \end{matrix}$

Find y-coordinate of mid-point.

$\begin{matrix} y = \frac{y_{1} + y_{2}}{2} \\ = \frac{5 - 20}{2} \\ = - \frac{15}{2} \end{matrix}$

Hence, the midpoint is $(- \frac{3}{2}, - \frac{15}{2})$ .

Step 4. Conclusion.

The coordinate of midpoint is $(- \frac{3}{2}, - \frac{15}{2})$ .

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Pre-algebra

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Short Answer

Find the midpoint of the segment with endpoints $(- 7, 5)$ and $(4, - 20)$ .

Step by Step Solution

Step 1. Given Information.

Step 2. Property used.

Step 3. Calculation.

Step 4. Conclusion.

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Step by Step Solution

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Find the midpoint of the segment with endpoints $(- 7, 5)$ and $(4, - 20)$ .