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 - 1.4 Intercepts and Graphing - 1.4 Exercises - Page 63: 56

Answer

Refer to the graph below.
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Work Step by Step

Simplify the equation to obtain: \begin{align*} y+x&=2x-8+y\\ y+x-y&=2x-8\\ x&=2x-8\\ x+8&=2x\\ 8&=2x-x\\ 8&=x \end{align*} Recall: The graph of an equation of the form $x=h$ is a vertical line that passes through the point $(h, 0)$. All points on the line have an $x$-coordinate of $h$, and the graph has no $y$-intercept unless $h=0$. Thus, the graph of the given line is a vertical line that passes through $(8, 0)$. The graph has no $y$-intercept. Refer to the graph above.
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