## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson

# Chapter 3 - Introduction to Graphing - 3.3 Graphing and Intercepts - 3.3 Exercise Set - Page 179: 50

#### Answer

x-intercept: $(\frac{1}{3}, 0)$ y-intercept: $(0, -\frac{1}{6})$ Refer to the graph below. #### Work Step by Step

To find the x-intercept, set y=0, then solve for $x$: $3x-6y=1 \\3x-6(0)=1 \\3x-0=1 \\3x=1 \\\frac{3x}{3}=\frac{1}{3} \\x=\frac{1}{3} \approx 0.33$ Thus, the x-intercept is $(\frac{1}{3}, 0)$. To find the y-intercept, set x=0, then solve for $y$: $3x-6y=1 \\3(0)-6y=1 \\0-6y=1 \\-6y=1 \\\frac{-6y}{-6}=\frac{1}{-6} \\y=-\frac{1}{6} \approx -0.167$ Thus, the y-intercept is $(0, -\frac{1}{6})$. Plot the intercepts on the same coordinate plane, then connect the two points using a line. Refer to the attached image in the answer part above for the graph.

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.