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: 31

Answer

Slope = Undefined

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 (-6,-1) and the final point will be (-6,4). 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 = $\frac{4 - (-1)}{-6 - (-6)}$ = $\frac{5}{0}$ = Undefined Note: You cannot divide by 0, so the slope should be undefined which on a graph is a vertical line.
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