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 - Review Exercises: Chapter 3 - Page 225: 29

Answer

Refer to the graph below.
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Work Step by Step

Solve for $x$. $4x+5=3 \\4x=3-5 \\4x=-2 \\\frac{4x}{4}=\frac{-2}{4} \\x=-\frac{1}{2}$ This means the given equation is equivalent to and has the same graph as $x=-\frac{1}{2}$. RECALL The graph of $x=h, h\ne0$ is a vertical line whose x-intercept is $(h, 0)$. All points on this line have an x-coordinate of $h$. Thus, the line $x=-\frac{1}{2}$ is vertical with an x-intercept of $(-\frac{1}{2}, 0)$. Since all points on this line have an x-coordinate of $-\frac{1}{2}$, then the following points are on the line: $(-\frac{1}{2}, 2)$, $(-\frac{1}{2}, 0)$, and $(-\frac{1}{2}, -2)$ Plot these three points then connect them using a line. (Refer to the answer part above for the graph.)
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