Algebra 1: Common Core (15th Edition)

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

Chapter 5 - Linear Functions - 5-1 Rate of Change and Slope - Practice and Problem-Solving Exercises - Page 300: 52

Answer

They are different lines because they have different rates.

Work Step by Step

(-2,3)(0,-1)(2,1) Find the rate of all three points by using the slope formula ($\frac{b1−b2}{a1−a2}$). DE=$\frac{3-(-1)}{-2-0}$=$\frac{4}{-2}$=-2 EF=$\frac{-1-1}{0-2}$=$\frac{-2}{-2}$=1 ED has the rate of -2 and EF has the rate of 1. They are different so they are different lines.
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