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: 28

Answer

$\text{$x$-intercept: } 7 \\\text{$y$-intercept: } 7$

Work Step by Step

Substituting $y=0,$ then \begin{array}{l}\require{cancel} y=-x+7 \\\\ 0=-x+7 \\\\ x=7 .\end{array} Hence, the $x$-intercept is $ 7 .$ Substituting $x=0,$ then \begin{array}{l}\require{cancel} y=-x+7 \\\\ y=-(0)+7 \\\\ y=7 .\end{array} Hence, the $y$-intercept is $ 7 .$ The given equation has the following characteristics: \begin{array}{l}\require{cancel} \text{$x$-intercept: } 7 \\\text{$y$-intercept: } 7 .\end{array} Using the intercepts, the graph is shown above.
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