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: 11



Work Step by Step

If we know the slope m of an equation and a point (a, b) that is on the graph of the equation, then we can determine the equation of the line using point-slope form: y-b=m(x-a) Since we're given that the line has a slope of 3 and that the point (7, 9) lies on the graph, we can plug these numbers in and determine the equation of the line in point-slope form. Therefore, the equation would be y-9=3(x-7) We can then solve for y by first applying the distributive property to the right side of the equation and rewriting it as y-9=3x-21 Then, to solve for y, we'll add 9 to both sides of the equation y=3x-12
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