Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 2 Linear Equations and Functions - Chapter Review - Exercises - Page 142: 15

Answer

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Work Step by Step

We have to graph the function: $$6x-4y=12.$$ Factor out $2$ and simplify: $$\begin{align*} 2(3x-2y)&=6\\ 3x-2y&=6. \end{align*}$$ Determine the $x$-intercept: $$\begin{align*} y&=0\\ 3x-2(0)&=6\\ 3x&=6\\ x&=2. \end{align*}$$ Determine the $y$-intercept: $$\begin{align*} x&=0\\ 3(0)-2y&=6\\ -2y&=6\\ y&=-3. \end{align*}$$ Plot the two points $(2,0)$ and $(0,-3)$ and connect them.
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