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 - Page 430: 5

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