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: 29

Answer

$y=-\frac{3}{8}x+\frac{5}{8}$

Work Step by Step

$m=\frac{\frac{7}{10}-\frac{4}{10}}{-\frac{1}{5}-\frac{3}{5}}$ $m=\frac{\frac{3}{10}}{\frac{-4}{5}}$ $m=-\frac{3}{8}$ Now that we have the slope, use an ordered pair to find the y-intercept. $y=-\frac{3}{8}x+b$ $\frac{4}{10}=-\frac{3}{8}(\frac{3}{5})+b$ $\frac{4}{10}=-\frac{9}{40}+b$ $b=\frac{25}{40}$ $b=\frac{5}{8}$ $y=-\frac{3}{8}x+\frac{5}{8}$
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