Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.2 Linear Functions and Their Graphs - Exercise Set 7.2: 7

Answer

Refer to the image below for the graph.
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Work Step by Step

(1) Solve for the $x$ and $y$ intercepts. To find the x-intercept, set $y=0$ and then solve for $x$: $\\5x=3y-15 \\5x = 3(0) - 15 \\5x = -15 \\x =\frac{-15}{5} \\x=-3$ This means that the x-intercept is at $(-3,0)$. To find the y-intercept, set x=0 and then solve for $y$: $5x=3y-15 \\5(0)=3y-15 \\0=3y-15 \\15=3y \\\frac{15}{3}=y \\5=y$ This means that the y-intercept is at $(0,5)$. (2) Plot the intercepts and then connect them using a line.
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