Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 1 - Linear Functions - 1.2 Using Data to Create Scatterplots - 1.2 Exercises - Page 32: 29

Answer

part a: (0,2) part b: (-3,0) part c: x=3 part d: y=2.75

Work Step by Step

part a: By looking at the graph, the y-intercept is where the line intersects the vertical axis. That would be 2. Written in proper form as an (x,y) coordinate, the answer would be (0,2). part b: By looking at the graph, the x-intercept is where the line intersects the horizontal axis. That would be -3. Written in proper form as an (x,y) coordinate, the answer would be (-3,0). part c: We know that we are looking for the x value that makes y=4 true. (x,4) is a better way to visualize this. At y=4 on the graph, the line reaches 3 on the x-axis. part d: We know that we are looking for the y value that makes x=1 true. (1,y) is a better way to visualize this. At x=1 on the graph, the line reaches about 2.75 on the y-axis.
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