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: 89

Answer

The graph is shown below.

Work Step by Step

The given linear equation is $\Rightarrow y=-0.75x+2.5$ For the vertical intercept plug $x=0$. $\Rightarrow y=-0.75(0)+2.5$ Simplify. $\Rightarrow y=2.5$ The vertical intercept is $A=(0,2.5)$ Slope is $m=-0.75=\frac{-3}{4}$, so the rise is $-3$ when the run is $4$. Starting at $(0,2.5)$ and going down $3$ and over $4$, we get to $B=(4,-0.5)$. Repeat the same to get the next point $C=(8,-3.5)$. By using theses three points draw a line.
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