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 - 1.3 Fundamentals of Graphing and Slope - 1.3 Exercises - Page 51: 9



Work Step by Step

To find 3 points to plot for the equation $x=5y+4$, first, rewrite the equation in slope-intercept form: $y=mx+b$. Isolate $y$ by subtracting 4 on each side of the equation to get $x-4=5y$. Now, divide 5 on each side of the equation to get $\frac{1}{5}$$x$$-$$\frac{4}{5}$$=y$ This reads the same as $y=$$\frac{1}{5}$$x$$-$$\frac{4}{5}$. Now, plug three values of $x$ into the equation to find three $y$ values. I will use -1,0, and 1 for this example. $y=$$\frac{1}{5}$$(-1)$$-$$\frac{4}{5}$$=-1$ $y=$$\frac{1}{5}$$(0)$$-$$\frac{4}{5}$$=$$-$$\frac{4}{5}$ $y=$$\frac{1}{5}$$(1)$$-$$\frac{4}{5}$$=$$-$$\frac{3}{5}$ Display these x and y values in a table and then graph.
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