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: 37

Answer

Graph A

Work Step by Step

We are given that $f(x)=2x+3$, which is written in the slope-intercept form $y=mx+b$, where m is the slope of the line and the point (0,b) is the y-intercept of the line. Therefore, m=2 and b=3, so the line has a positive slope and has a y-intercept of (0,3). As Example 1 on pg. 153 shows, lines with a positive slope are upward slanting, which narrows our choices to Graphs A and D. However, Graph A is the only one of these two graphs that has a y-intercept of (0,3), so the correct graph is Graph A.
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.