Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 1 - Linear Functions and Change - 1.4 Formulas for Linear Functions - Exercises and Problems for Section 1.4 - Exercises and Problems - Page 34: 1

Answer

$y=-4x+28$

Work Step by Step

A linear function has the form $y=mx+b$, where $m$ is the slope, $b$ is the y-intercept. A linear function can also have the form $y-y_1=m(x-x_1)$, where $m$ is the slope, and $(x_1,y_1)$ is a point on the line. Hence here because the x-intercept is $(7,0)$, the line contains this point: $y-0=-4(x-7)\\y=-4x+28$
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