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 3 - Introduction to Graphing - 3.3 Graphing and Intercepts - 3.3 Exercise Set - Page 179: 24

Answer

x-intercept: $(6, 0)$ y-intercept: $(0, -20)$

Work Step by Step

To find the x-intercept, set $y=0$ then solve for $x$: $10x-3y=60 \\10x-3(0)=60 \\10x=60 \\\frac{10x}{10}=\frac{60}{10} \\x=6$ Thus, the x-intercept of the graph of the given equation is $(6, 0)$. To find the y-intercept, set $x=0$ then solve for $y$: $10x-3y=60 \\10(0)-3y=60 \\-3y=60 \\\frac{-3y}{-3}=\frac{60}{-3} \\y=-20$ Thus, the y-intercept of the graph of the given equation is $(0, -20)$.
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