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: 26

Answer

$\text{$x$-intercept: } 5 \\\text{$y$-intercept: } 2$
1517111618

Work Step by Step

Substituting $y=0,$ then \begin{array}{l}\require{cancel} 2x+5y=10 \\\\ 2x+5(0)=10 \\\\ 2x+0=10 \\\\ 2x=10 \\\\ x=\dfrac{10}{2} \\\\ x=5 .\end{array} Hence, the $x$-intercept is $ 5 .$ Substituting $x=0,$ then \begin{array}{l}\require{cancel} 2x+5y=10 \\\\ 2(0)+5y=10 \\\\ 0+5y=10 \\\\ 5y=10 \\\\ y=\dfrac{10}{5} \\\\ y=2 .\end{array} Hence, the $y$-intercept is $ 2 .$ The given equation has the following characetristics: \begin{array}{l}\require{cancel} \text{$x$-intercept: } 5 \\\text{$y$-intercept: } 2 .\end{array} Using the intercepts, the graph is shown above.
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