Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 2 - Functions and Their Graphs - Chapter Review - Cumulative Review - Page 117: 11

Answer

Plot the intercepts then connect them using a straight line. Refer to the graph below.

Work Step by Step

To graph the given equation we need to find the $x$ and $y$-intercepts, plot them, then connect the points using a straight line. To find the $x$-intercept, set $y=0$ then solve for $x$ to obtain: $$\begin{align*} 3x-2y&=12\\ 3x-2(0)&=12\\ 3x&=12\\ x&=4 \end{align*}$$ To find the $y$-intercept, set $x=0$ then solve for $y$ to obtain: $$\begin{align*} 3x-2y&=12\\ 3(0)-2y&=12\\ -2y&=12\\ y&=-6 \end{align*}$$ Graph the given equation by plotting $(4, 0)$ and $(0, -6)$ then connecting them using a straight line to obtain the graph below:
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