College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 2 - Functions and Graphs - Exercise Set 2.3 - Page 255: 43

Answer

The slope of the given line is $m=\dfrac{3}{4}$ and its $y$-intercept is $(0,-2)$

Work Step by Step

$f(x)=\dfrac{3}{4}x-2$ Substitute $f(x)$ by $y$, for representative purposes: $y=\dfrac{3}{4}x-2$ This equation is now in slope-intercept form. This form $y=mx+b$, where $m$ is the slope of the line and $b$ is its $y$-intercept. In this case, $m=\dfrac{3}{4}$ and $b=-2$ The slope of the given line is $m=\dfrac{3}{4}$ and its $y$-intercept is $(0,-2)$ The graph is shown below:
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