Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 1 - Linear Functions - Chapter Test - Page 123: 2

Answer

Graph of $y=4x-2$.

Work Step by Step

To graph the given equation, substitute values of $x$ and then solve for $y$. Choosing and substituting $x=0$, the value of $y$ in the given equation is $$\begin{aligned} y&=4(0)-2 \\&= 0-2 \\&= -2 .\end{aligned} $$Hence, $(0,-2)$ is a point on the line defined by the given equation. Choosing and substituting $x=1$, the value of $y$ in the given equation is $$\begin{aligned} y&=4(1)-2 \\&= 4-2 \\&= 2 .\end{aligned} $$Hence, $(1,2)$ is a point on the line defined by the given equation. Connecting the points $ (0,-2) $ and $ (1,2) $ gives the graph of the given equation.
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