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 174: 82a

Answer

$y=338.2x+31046$

Work Step by Step

The given line passes through $(0,31046)$ and $(5,32737).$ Using $y-y_1=\dfrac{y_1-y_2}{x_1-x_2}(x-x_1)$ or the Two-Point Form of linear equations, where \begin{array}{l}\require{cancel} x_1=0 ,\\x_2=5 ,\\y_1=31046 ,\\y_2=32737 ,\end{array} the equation of the line is \begin{array}{l}\require{cancel} y-31046=\dfrac{31046-32737}{0-5}(x-0) \\\\ y-31046=\dfrac{-1691}{-5}x \\\\ y-31046=338.2x \\\\ y=338.2x+31046 .\end{array}
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