Intermediate Algebra (6th Edition)

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

Chapter 3 - Sections 3.1-3.5 - Integrated Review - Linear Equations in Two Variables: 19

Answer

$f(x)=3x-2$

Work Step by Step

Using $y=mx+b$ where $m$ is the slope, the given equation, $ 3x-y=5 ,$ is equivalent to \begin{array}{l}\require{cancel} -y=-3x+5 \\\\ y=3x-5 .\end{array} Hence, the slope is $m=3$. Since parallel lines have the same slope, then $m_p=3$ Using $ (-1,-5) $ and $m_p= 3 ,$ the equation of the line is \begin{array}{l}\require{cancel} y-(-5)=3(x-(-1)) \\\\ y+5=3(x+1) \\\\ y+5=3x+3 \\\\ y=3x+3-5 \\\\ y=3x-2 .\end{array} In function notation form, this is equivalent to $ f(x)=3x-2 .$
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