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: 28

Answer

$$x_{intercept} = (-4.5, 0)$$ $$y_{intercept} = (0, 6)$$
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Work Step by Step

To find the intercepts, one substitutes the opposite variable by zero and solves the equation. To find the $x_{intercept}$, for instance: $$-4x + 3(0) = 18$$ $$-4x = 18$$ $$x = -\frac{18}{4}$$ $$x = -4.5$$ To find the $y_{intercept}$: $$-4(0) + 3y = 18$$ $$3y = 18$$ $$y = 6$$ Finally, to draw the graph of the equation, one plots the intercepts and draws the line connecting them.
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