Intermediate Algebra (6th Edition)

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

Chapter 3 - Section 3.4 - The Slope of a Line - Exercise Set - Page 164: 108

Answer

(refer to the step by step part for the explanation) $\\$The graph of $y=b$ is a line whose points all have a y-value of b. All these points belong to a horizontal line.

Work Step by Step

$y=b$ can be written as $y=0x+b$. $\\$This means that for whatever value of x, the value of y is always going to be b. $\\\\$Thus, the points $(−1,b),(0,b), \text{ and } (1,b)$ are all in the graph of $y=b$. $\\\\$Connecting the points together to graph the line forms a horizontal line. $\\\\$Therefore in general, the graphs of equations of the form $y=b$, where b is any real number, are horizontal lines.
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