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: 30

Answer

$$x_{intercept} = (10, 0)$$ $$y_{intercept} = (0, 14)$$

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: $$-7x - 5(0) = -70$$ $$-7x = -70$$ $$x = 10$$ To find the $y_{intercept}$: $$-7(0) - 5y = -70$$ $$-5y= -70$$ $$y = 14$$ Finally, to draw the graph of the equation, one plots the intercepts and draws the line connecting them.
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