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 - Review Exercises: Chapter 3: 57

Answer

$m=-1$

Work Step by Step

A point $(x_1, y_1)$ is on the graph of $y=mx+b$ if the x and y coordinates of the point satisfies the equation. To find the value of $m$, substitute -2 and 5 to x and y, respectively, to obtain: $y=mx+3 \\5=m(-2)+3 \\5=-2m+3 \\5-3 = -2m+3-3 \\2=-2m \\\frac{2}{-2}=\frac{-2m}{-2} \\-1=m$ Thus, $m=-1$.
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