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: 10

Answer

The equation is $y=-\dfrac{3}{2}x+2$

Work Step by Step

You are given $(2,-1)$ which is parallel to the equation $y=-\dfrac{3}{2}x+6$.Find the equation of the points: The lines are parallel so they have the same slope so $y=-\dfrac{3}{2}x+b$, plug in the points into the equation to find b. $y=-\dfrac{3}{2}x+b$ $-1=-3+b$ $b=2$ The equation is $y=-\dfrac{3}{2}x+2$
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