## 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 180: 108

#### Answer

x-intercept: $(0.04, 0)$ y-intercept: $(0, -0,05)$ Refer to the graph below. #### Work Step by Step

Find the x-intercept by setting y=0 then solving for x: $25x−20y=1 \\25x−20(0)=1 \\25x=1 \\\dfrac{25x}{25}=\dfrac{1}{25} \\x=0.04$ Thus, the x-intercept is $(0.04, 0)$. Find the y-intercept by setting x=0 then solving for y: $25x−20y=1 \\25(0)−20y=1 \\−20y=1 \\\dfrac{−20y}{−20}=\dfrac{1}{−20} \\y=−0.05$ Thus, the y−intercept is $(0, -0.05)$. Use a graphing utility to graph the equation and verify the intercepts. Since the intercepts involve $0.04$ and $-0.05$, set the scale to $0.05$. This can be done in the calculator by going to the WINDOW menu and setting Xscl to 0.05 and Yscl to 0.05. (Refer to the attached image 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.