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 34: 40

Answer

a) $(0,2)$ b) $(1.5,0)$ c) $x=-1.5$ d) $x=3$ e) $y=-3.3$

Work Step by Step

a) The vertical intercept is the $y$-intercept, which is the value of $y$ corresponding to $x=0$: 2. As a point it can be written as $(0,2)$ b) The horizontal intercept is the $x$-intercept, which is the value of $x$ corresponding to $y=0$: 1.5. As a point it can be written as $(1.5,0)$ c) The value of $x$ that results in $y=4$ is -1.5 because the point $(-1.5,4)$ belongs to the graph. $x=-1.5$ d) The value of $x$ that results in $y=-2$ is 3 because the point $(3,-2)$ belongs to the graph. $x=3$ e) The value of $y$ when $x=4$ is -3.3 because the point $(4,-3.3)$ belongs to the graph. $y=-3.3$
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