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 - 1.4 Intercepts and Graphing - 1.4 Exercises - Page 63: 21

Answer

$x_{intercept} = (4,0)$ $y_{intercept} = (0,2)$

Work Step by Step

To find the intercepts, one simply equates the opposite variable to zero and solve the equation. In other words, to find the $x_{intercept}$: $$2x + 4(0) = 8$$ $$2x = 8$$ $$x = 4$$ And to find the $y_{intercept}$: $$2(0) + 4y = 8$$ $$4y = 8$$ $$y = 2$$. We plot the points on a graph and draw the line that connects them.
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