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: 10

Answer

Plot the points $(-1,-3),(0,-3.5),(1,-4)$ and graph the line.

Work Step by Step

We are given the equation: $x=-2y-7$ Rewrite the equation in the standard form $y=ax+b$: $x+7=-2y-7+7$ $x+7=-2y$ $y=-\dfrac{1}{2}x-\dfrac{7}{2}$ Determine 3 points belonging to the graph: $x=-1\Rightarrow y=-\dfrac{1}{2}(-1)-\dfrac{7}{2}=-3$ $x=0\Rightarrow y=-\dfrac{1}{2}(0)-\dfrac{7}{2}=-3.5$ $x=1\Rightarrow y=-\dfrac{1}{2}(1)-\dfrac{7}{2}=-4$ Plot the points $(-1,-3),(0,-3.5),(1,-4)$ and join them to graph the line:
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