Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 3 - Introduction to Graphing - Mid-Chapter Review - Mixed Review - Page 202: 9


Refer to the graph below.

Work Step by Step

Solve for $y$. Subtract $4x$ to both sides: $4x-5y-4x=20-4x \\-5y=-4x+20$ Divide both sides by $-5$: $\dfrac{-5y}{-5}=\dfrac{-4x+20}{-5} \\y=\dfrac{4}{5}x-4$ This means that the given equation is equivalent to $y=\frac{4}{5}x-4$. To graph the equation, perform the following steps: (1) Create a table of values by assigning $-5, 0,$ and $5$ to $x$ then solving for the corresponding value of $y$ of each one. (refer to the attached image below for the table) (2) Plot each point and connect them using a line. (refer to the attached image in the answer part above for the graph)
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