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: 22

Answer

$x_{intercept} = (0,5)$ $y_{intercept} = (10,0)$
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Work Step by Step

To find the intercepts, one simply substitutes the opposite variable for zero and then solves the equation. For instance, to find the $x_{intercept}$: $$4x + 2(0) = 20$$ $$4x = 20$$ $$x = 5$$ Now, to find the $y_{intercept}$ we do as follows: $$4(0) + 2y = 20$$ $$2y = 20$$ $$y = 10$$ Once the points are plotted, the line between them is drawn to find the line graph of the original equation.
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