Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 2 - Functions, Equations, and Graphs - 2-5 Using Linear Models - Practice and Problem-Solving Exercises - Page 98: 22

Answer

Choice B

Work Step by Step

A direct variation model takes the form $y=kx.$ The equation of Choice B, $2x-y=5,$ is equivalent to \begin{align*} 2x-y-2x&=-2x+5 \\ -y&=-2x+5 \\ -1(-y)&=(-2x+5)(-1) \\ y&=2x-5 .\end{align*} Since the equivalent equation above takes the form $y=kx+c$ (and not $y=kx$), then it is not a direct variation equation. Hence, Choice B does NOT represent a direct variation.
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