Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 1 - Graphs - 1.3 Lines - 1.3 Assess Your Understanding - Page 31: 52

Answer

$y=\frac{1}{5}x+\frac{23}{5}$ or $x-5y=-23$

Work Step by Step

Step 1. Given points $(-3,4),(2,5)$, we can find the slope $m=\frac{4-5}{-3-2}=\frac{1}{5}$. Step 2. Using either point (2nd used here), we can write the equation as $y-5=\frac{1}{5}(x-2)$ or $y=\frac{1}{5}x+\frac{23}{5}$ or $x-5y=-23$
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