Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 3 - Introduction to Graphing - 3.7 Point-Slope Form and Equations of Lines - 3.7 Exercise Set: 67

Answer

$y=4x-5$

Work Step by Step

Using $y-y_1=\dfrac{y_1-y_2}{x_1-x_2}(x-x_1)$ or the Two-Point Form, then the equation of the line passing through the given points, $( 2,3 )\text{ and }( 3,7 )$, is \begin{array}{l} y-3=\dfrac{3-7}{2-3}(x-2) \\\\ y-3=\dfrac{-4}{-1}(x-2) \\\\ y-3=4(x-2) \\\\ y-3=4x-8 \\\\ y=4x-8+3 \\\\ y=4x-5 .\end{array}
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