Algebra and Trigonometry 10th Edition

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

Chapter 2 - 2.1 - Linear Equations in Two Variables - 2.1 Exercises - Page 169: 25

Answer

Slope = $\frac{-3}{2}$

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 (0,9) and the final point will be (6,0). 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 = $\frac{0 - 9}{6 - 0}$ = $\frac{-9}{6}$ = $\frac{-3}{2}$
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