Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 5 - Linear Functions - 5-2 Direct Variation - Practice and Problem-Solving Exercises - Page 304: 9


The equation is not a direct variation

Work Step by Step

An equation is called a direct variation if it is in the form of $y=kx$, where $k\ne0$ is the constant variation The value of the constant of variation is obtained by dividing x: $k=\frac{y}{x}$ $2y=5x+1$ $y=\frac{5}{2}x+\frac{1}{2}$ This equation is not in the form $y=kx, so the equation is not a direct variation.
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