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: 30

Answer

part a: (0,-3) part b: (4,0) part c: x=1.25 part d: y=-4.5

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 -3. Written in proper form as an (x,y) coordinate, the answer would be (0,-3). part b: By looking at the graph, the x-intercept is where the line intersects the horizontal axis. That would be 4. Written in proper form as an (x,y) coordinate, the answer would be (4,0). part c: We know that we are looking for the x value that makes y=-2 true. (x,-2) is a better way to visualize this. At y=-2 on the graph, the line reaches about 1.25 on the x-axis. part d: We know that we are looking for the y value that makes x=-2 true. (-2,y) is a better way to visualize this. At x=-2 on the graph, the line reaches about -4.5 on the y-axis.
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