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 172: 102


False. Their slopes are different.

Work Step by Step

If the lines are parallel, their slopes are the same. Slope of the line passing through $(-8,2)$ and $(-1,4)$: $m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-2}{-1-(-8)}=\frac{2}{7}$ Slope of the line passing through $(0,-4)$ and $(-7,7)$: $m=\frac{y_2-y_1}{x_2-x_1}=\frac{7-(-4)}{-7-0)}=\frac{11}{-7}=-\frac{11}{7}$
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