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 - Lesson Check: 4

Answer

Yes; $y=-1/2x$.

Work Step by Step

If y varies directly with x, then every point on the table should have the same value for y/x. If y/x has the same value at every point, then it will be direct variation, and y/x will be the constant of variation. Thus, we obtain: $1/-2=-1/2 \\\\ -1/2=-1/2 \\\\ -2/4=-1/2$ It is direct variation, where $k=-1/2$. Thus, we substitute k to get the equation: $y=-1/2x$.
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