Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 1 - Linear Functions - 1.3 Fundamentals of Graphing and Slope - 1.3 Exercises - Page 53: 72

Answer

The graph is shown below.

Work Step by Step

The given linear equation is $\Rightarrow y=\frac{2}{3}x+4$ For the vertical intercept plug $x=0$. $\Rightarrow y=\frac{2}{3}(0)+4$ Simplify. $\Rightarrow y=4$ The vertical intercept is $A=(0,4)$ Slope is $m=\frac{2}{3}$, so the rise is $2$ when the run is $3$. Starting at $(0,4)$ and going up $2$ and over $3$, we get to $B=(3,6)$. Repeat the same to get the next point $C=(6,8)$. By using theses three points draw a line.
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