Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - Chapter 2 Test Prep - Review Exercises - Page 297: 41

Answer

Refer to the graph below.

Work Step by Step

RECALL: (1) The slope-intercept form of a line's equation is $y=mx+b$ where $m$=slope and $(0, b)$ is the line's y-intercept. (2) The slope is the ratio rise (change in $y$) over run (change in $x$). The equation $y=\frac{1}{3}x$ has a slope of $\frac{1}{3}$ and a y-intercept of $(0, 0)$. The given function can be written as $y=x.$ This equation has a slope of $1$ and a y-intercept of $(0, 0)$. To graph the equation, perform the following steps: (1) Plot the y-intercept $(0, 0)$. (2) Use the slope to plot another point. From $(0, 0)$, move 1 unit up (the rise) and 1 unit to the right (the run) to reach $(1, 1)$. Plot $(1, 1)$. (3) Complete the graph by connecting the points using a straight line. (Refer to the graph in the answer part above.)
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.