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 170: 72

Answer

perpendicular

Work Step by Step

Slope of Line 1 : $m_1=\frac{y_2-y_1}{x_2-x_1}=\frac{2-8}{-4-4}=\frac{-6}{-8}=3/4$ Slope of Line 1 : $m_2=\frac{y_2-y_1}{x_2-x_1}=\frac{-5-(\frac{1}{3})}{3-(-1)}=\frac{\frac{-16}{3}}{4}=-4/3$ Hence the lines are perpendicular as $m_1 * m_2 = -1$
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