Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 1 - Precalculus Review - 1.2 Linear and Quadratic Functions - Exercises - Page 18: 6



Work Step by Step

When an equation is in slope-intercept form, or y=mx+b form, m=slope and b=y-intercept. Therefore, in order for us to determine the slope of the graph of y=3(x-9)+2, we must rearrange the right side of the equation to get it in y=mx+b form. First, we'll apply the distributive property y=3(x-9)+2 y=(3)(x)-(3)(9)+2 (Distributive Property) Then, we'll simplify y=3x-27+2 (Simplify) y=3x-25 (Simplify) Now that the equation is in y=mx+b form, we can easily observe the fact that m=3, therefore, the slope=3
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