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Q. 24

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Pre-algebra

Found in: Page 616

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 slope of the line through the given points.
$(4, 2), (3, 8)$

The slope of the line through the points $(4, 2), (3, 8)$ is $- 6$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information.

The given points are $(4, 2), (3, 8)$ .

Step 2. Formula used.

The slope of the line through the points $(x_{1}, y_{1}), (x_{2}, y_{2}) i s$ $\frac{y_{2} - y_{1}}{x_{2} - x_{1}} .$

Step 3. Calculation.

To find the slope substitute $(x_{1}, y_{1}) = (4, 2)$ and $(x_{2}, y_{2}) = (3, 8)$ into the slope formula then simplify it.

$\begin{matrix} \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{8 - 2}{3 - 4} \\ \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{6}{- 1} \\ \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = - 6 \end{matrix}$

Step 4. Conclusion.

The slope of the line through the points $(4, 2), (3, 8)$ is $- 6$ .

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