Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 3 - Review: 74

Answer

neither

Work Step by Step

Using the properties of equality, the first equation, $ x-2y=6 ,$ is equivalent to \begin{array}{l} -2y=-x+6 \\\\ y=\dfrac{-1}{-2}x+\dfrac{6}{-2} \\\\ y=\dfrac{1}{2}x-3 .\end{array} Using $y=mx+b$, where $m$ is the slope, the slope is \begin{array}{l} m_1=\dfrac{1}{2} .\end{array} Using the properties of equality, the second equation, $ 4x+y=8 ,$ is equivalent to \begin{array}{l} y=-4x+8 .\end{array} Using $y=mx+b$, where $m$ is the slope, the slope is \begin{array}{l} m_2=-4 .\end{array} Since $m_1\ne m_2,$ and $m_1\cdot m_2\ne-1$ then the given lines are $\text{ neither parallel nor perpendicular .}$
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