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

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter R - Elementary Algebra Review - R.3 Introduction to Graphing - R.3 Exercise Set - Page 954: 27


$\text{$x$-intercept: } -\dfrac{5}{3} \\\text{$y$-intercept: } 5$

Work Step by Step

Substituting $y=0,$ then \begin{array}{l}\require{cancel} y=3x+5 \\\\ 0=3x+5 \\\\ -5=3x \\\\ -\dfrac{5}{3}=x .\end{array} Hence, the $x$-intercept is $ -\dfrac{5}{3} .$ Substituting $x=0,$ then \begin{array}{l}\require{cancel} y=3x+5 \\\\ y=3(0)+5 \\\\ y=0+5 \\\\ y=5 .\end{array} Hence, the $y$-intercept is $ 5 .$ The given equation has the following characteristics: \begin{array}{l}\require{cancel} \text{$x$-intercept: } -\dfrac{5}{3} \\\text{$y$-intercept: } 5 .\end{array} Using the intercepts, the graph is shown above.
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