Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter F - Foundations: A Prelude to Functions - Section F.3 Lines - F.3 Assess Your Understanding - Page 31: 85

Answer

The slope is $0$. The $y$-intercept is $5$. See the graph below.

Work Step by Step

For a horizontal line, its equation's form is always the following: $y=a$, where $a$ is a constant. Here, the equation $y=5$ is exactly as described above with $a=5$. Therefore the line is horizontal. Recall that a horizontal line has a slope of $0$. Every point that has a $y$-coordinate of $5$ is on the line $y=5$. Therefore, the $y$-intercept is $5$. In order to sketch the line we can use the points $(0,5)$ and $(1,5)$. Plot the points and connect them using a straight line. Refer to the graph above.
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