Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 3 - Section 3.3 - Intercepts - Practice - Page 218: 5

Answer

The graph of $y=3x$ is shown in the following image.

Work Step by Step

The equation given is $y=3x$. If $x=0$, then $y=0$, thus the y-intercept is $0$. If $y=0$, then $x=0$, thus the x-intercept (or the root/zero) is $0$. The point $(0,0)$ is both the x-intercept and the y-intercept. Another point on the line must be found to connect with $(0,0)$ and create the graph of $y=3x$. The x-value of $1$ can be inputted in the equation to obtain $3$ as a y-value, giving the ordered pair $(1,3)$. The points $(0,0)$ and $(1,3)$ are then connected to create the graph.
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