Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 5 - Linear Functions - 5-2 Direct Variation - Practice and Problem-Solving Exercises - Page 302: 13


Yes; $k$=$\frac{7}{3}$

Work Step by Step

Equation: $-4+7x+4=3y$ To start, combine like terms:$-4+4=0$, so we are left with $7x=3y$ The $y$ needs to be isolated so divide 3 on both sides of the equation:$\frac{7}{3}$$x$=$y$ Rewrite this so that the $y$ is placed in front of the equal sign: $y=$$\frac{7}{3}$$x$ This is proper direct variation form, so yes, it does represent direct variation. The constant of variation is $k$ in the equation $y=kx$, so it is $\frac{7}{3}$.
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