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 51: 20

Answer

Plot the points $(-5,6),(0,4),(5,2)$ and join them to graph the line

Work Step by Step

We are given the equation: $x=-2.5y+10$ Rewrite the equation in the standard form $y=ax+b$: $x-10=-2.5y+10-10$ $x-10=-\dfrac{5}{2}y$ $y=-\dfrac{2}{5}x+4$ Determine 3 points belonging to the graph: $x=-5\Rightarrow y=-\dfrac{2}{5}(-5)+4=6$ $x=0\Rightarrow y=-\dfrac{2}{5}(0)+4=4$ $x=5\Rightarrow y=-\dfrac{2}{5}(5)+4=2$ Plot the points $(-5,6),(0,4),(5,2)$ and join them to graph the line:
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