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: 3

Answer

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

To graph the given linear equation using the slope and y-intercept, perform the following steps: (1) Solve for the x and y intercepts. To find the x-intercept, set $y = 0$ and then solve for $x$: $3x-4y=12 \\3x-4(0)= 12 \\3x=12 \\x=\frac{12}{3} \\x=4$ This means that the x-intercept is at $(4, 0)$. To find the y-intercept, set $x = 0$ and then solve for $y$: $3x-4y=12 \\3(0) - 4y =12 \\-4y=12 \\y = \frac{12}{-4} \\y=-3$ This means that the y-intercept is at $(0, -3)$. (2) Plot the intercepts, and then connect them using a line. (Please refer to the attached image in the answer part above for the graph.)
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