Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.2 Linear Functions and Their Graphs - Exercise Set 7.2 - Page 430: 6

Answer

Refer to the image below for the graph.

Work Step by Step

(1) Solve for the x and y intercepts. To find the x-intercept, set $y = 0$ and then solve for $x$: $x+3y=6 \\x+3(0)= 6 \\x+0=6 \\x=6 $ This means that the x-intercept is at $(6, 0)$. To find the y-intercept, set $x = 0$ and then solve for $y$: $x+3y=6 \\0 +3y =6 \\3y=6 \\y=\frac{6}{3} \\y=2$ This means that the y-intercept is at $(0, 2)$. (2) Plot the intercepts and then connect them using a line. (Please refer to the attached image in the answer part above for the graph.)
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.