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: 8

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 $x$: $\\3x=2y+6 \\3x = 2(0)+6 \\3x = 6 \\x =\frac{6}{3} \\x=2$ This means that the x-intercept is at $(2, 0)$. To find the y-intercept, set x=0 and then solve for $y$: $3x=2y+6 \\3(0)=2y+6 \\0=3y+6 \\-6=2y \\\frac{-6}{2}=y \\-3=y$ This means that the y-intercept is at $(0,-3)$. (2) Plot the intercepts and then connect them using a line.
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