Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 3 - Section 3.5 - Equations of Lines - Exercise Set - Page 173: 33

Answer

$y=\frac{2}{3}x+\frac{7}{3}$

Work Step by Step

The slope is $\frac{2}{3}$, as the graph moves up two units as it moves right three units. One ordered pair of the graph is (-2,1). We can plug this into slope-intercept form to find the y-intercept. $y=mx+b$ $1=\frac{2}{3}(-2)+b$ $\frac{7}{3}=b$ $y=\frac{2}{3}x+\frac{7}{3}$
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