College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 2 - Functions and Graphs - Exercise Set 2.3 - Page 255: 70

Answer

$x$-intercept: $-5$ $y$-intercept: $-3$
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Work Step by Step

$3x+5y+15=0$ To find this equation's $x$-intercept, set $y$ equal to $0$ and solve for $x$: $3x+5y+15=0$ $3x+5(0)+15=0$ $3x+15=0$ $3x=-15$ $x=-\dfrac{15}{3}$ $x=-5$ To find this equation's $y$-intercept, set $x$ equal to $0$ and solve for $y$: $3x+5y+15=0$ $3(0)+5y+15=0$ $5y+15=0$ $5y=-15$ $y=-\dfrac{15}{5}$ $y=-3$ The intercepts of this equation are now known. The graph is shown below:
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