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: 34

Answer

Slope = $\frac{-1}{7}$

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 ($\frac{11}{2}$,$\frac{-4}{3}$) and the final point will be ($\frac{-3}{2}$,$\frac{-1}{3}$). 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 = $\frac{\frac{-1}{3} - \frac{-4}{3}}{\frac{-3}{2} - \frac{11}{2}}$ = $\frac{1}{-7}$ = $\frac{-1}{7}$
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