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: 24

Answer

$$x_{intercept} = (4,0)$$ $$y_{intercept} = (0,-10)$$

Work Step by Step

To solve for the intercepts, one substitutes the opposite variable for zero and then solves the equation. To find the $x_{intercept}$: $$5x - 2(0) = 20$$ $$5x = 20$$ $$x = 4$$ To find the $y_{intercept}$: $$5(0) - 2y = 20$$ $$-2y = 20$$ $$y = -10$$ To find the graph, simply plot both intercepts and draw the line that connects them.
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