Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 2 - Section 2.2 - The Slope of a Line - 2.2 Exercises: 78

Answer

parallel line: slope=0.2=1/5 perpendicular line: slope=-5

Work Step by Step

We know that two parallel lines have the same slope ($m_1=m_2$). We also know that perpendicular lines have negative reciprocal slopes ($m_1=-\frac{1}{m_2}$). Thus a line parallel to a line with slope $m_1=0.2=1/5$ has slope $m_2=0.2=1/5$. And a line perpendicular to the line with slope $m_1=0.2=1/5$ has a slope $m_2=-\frac{1}{1/5}=-5$.
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