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: 23

Answer

$$x_{intercept} = (5, 0)$$ $$y_{intercept} = (0, -3)$$
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Work Step by Step

To find the intercepts, one substitutes the opposite variable for zero and solves the equation. To find the $x_{intercept}$: $$3x - 5(0) = 15$$ $$3x = 15$$ $$x = 5$$ To find the $y_{intercept}$: $$3(0) - 5y = 15$$ $$-5y = 15$$ $$y = -3$$ And to draw the graph, we simply plot the points and draw the line that connects them.
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