Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 1 - Review Exercises - Page 152: 38


x-intercept: $(\frac{1}{3},0)$ y-intercept: $(0,-\frac{1}{4})$

Work Step by Step

$y=\frac{3}{4}x-\frac{1}{4}$ Make $y=0$ to find the x-intercept: $0=\frac{3}{4}x-\frac{1}{4}$ $-\frac{3}{4}x=-\frac{1}{4}$ $x=\frac{-\frac{1}{4}}{-\frac{3}{4}}=\frac{1}{4}\frac{4}{3}=\frac{1}{3}$ We have the point: $(\frac{1}{3},0)$ Make $x=0$ to find the y-intercept: $y=\frac{3}{4}(0)-\frac{1}{4}=0-\frac{1}{4}=-\frac{1}{4}$ We have the point: $(0,-\frac{1}{4})$
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