Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 3 - Introduction to Graphing - 3.6 Slope-Intercept Form - 3.6 Exercise Set: 34

Answer

$\text{slope: } -\dfrac{3}{4} ,\\\\\text{$y$-intercept: } 3$

Work Step by Step

Using the properties of equality, the given equation, $ 3x+4y=12 $, is equivalent to \begin{array}{l} 4y=-3x+12 \\\\ y=-\dfrac{3}{4}x+\dfrac{12}{4} \\\\ y=-\dfrac{3}{4}x+3 .\end{array} Using $y=mx+b$ where $m$ is the slope and $b$ is the $y$-intercept, then the equation above has the following characteristics: \begin{array}{l} \text{slope: } -\dfrac{3}{4} ,\\\\\text{$y$-intercept: } 3 .\end{array}
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