Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.1 - Linear Equations in Two Variables - 2.1 Exercises - Page 169: 10

Answer

Part A: $L_{2}$ Part B: $L_{1}$ Part C: $L_{3}$

Work Step by Step

Part A: The line that has a slope of 0 is $L_{2}$. We know this by looking at the slope. A line with a slope of 0 is horizontal, so the only line that is horizontal is $L_{2}$. Part B: The line that has a slope of $\frac{-3}{4}$ is $L_{1}$. We know this by looking at the slope. $\frac{-3}{4}$ is a negative number meaning that in the graph, as x increases y will decrease. The only line that has y decreasing as x increases is $L_{1}$. Part C: The line that has a slope of 1 is $L_{3}$. We know this by looking at the slope. 1 is a positive number meaning that in the graph, as x increases y will increase. The only line that has y increasing as x increases is $L_{3}$.
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