Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 8 - Coordinate Geometry and Linear Systems - 8.3 - Slope of a Line - Problem Set 8.3: 13

Answer

$m=-\dfrac{3}{2}$

Work Step by Step

Using $m=\dfrac{y_1-y_2}{x_1-x_2}$, the slope of the line determined by the given points, $( -6,-1 ) \text{ and } ( -2,-7 ),$ is \begin{array}{l}\require{cancel} m=\dfrac{-1-(-7)}{-6-(-2)} \\\\ m=\dfrac{-1+7}{-6+2} \\\\ m=\dfrac{6}{-4} \\\\ m=\dfrac{\cancel{2}\cdot3}{\cancel{2}\cdot(-2)} \\\\ m=\dfrac{3}{-2} \\\\ m=-\dfrac{3}{2} .\end{array}
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