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 - Got It?: 1

Answer

Yes; -4/5

Work Step by Step

Direct variation has the form y=kx. Thus, we need to simplify to isolate y to see if it is direct variation. Thus, we obtain: $4x+5y=0 \\\ 4x=-5y \\\\ y=-4/5x $ This does have the form y=kx, so it is direct variation. k is the constant of variation, so we know that the thing x is being multiplied by, -4/5, is the constant of variation.
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