Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - Review Exercises - Page 233: 5

Answer

Slope = -1

Work Step by Step

To find the slope between two points, we use the slope formula. The slope formula is the change in the y values over the change in the x values. Slope = $\frac{y_{final} - y_{initial}}{x_{final} - x_{initial}}$ The final and initial points do not matter. In this example, the initial point will be (5,-2) and the final point will be (-1,4). However, either point can be considered the final point and either point can be considered to be the initial point without changing the slope. Using the slope formula: Slope = $\frac{4 - (-2)}{-1 - 5}$ = $\frac{6}{-6}$ = -1
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