Algebra 1: Common Core (15th Edition)

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

Chapter 5 - Linear Functions - 5-6 Parallel and Perpendicular Lines - Practice and Problem-Solving Exercises - Page 334: 11

Answer

y=$\frac{2}{3}$x

Work Step by Step

You have (0,0) parallel to y=$\frac{2}{3}$x+1.Since parallel lines have the same slope, the slope for the other line is also $\frac{2}{3}$.Use the slope and (0,0) to find the y-intercept: y=mx+b 0=$\frac{2}{3}$(0)+b 0=0+b 0=b There is no y-intercept so the equation would be y=$\frac{2}{3}$x.
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