Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 1 - Section 1.3 - Linear Functions and Models - Exercises - Page 95: 124

Answer

m is negative, b is positive.

Work Step by Step

$(0,b)$ is the point of intersection of the line $y=mx+b$ with the vertical axis (T=0). When T=0,... b is positive, the y-intercept is above the origin. Moving $\Delta x=10$ (+10 units to the right), $\Delta y$ becomes negative, so $ m=\displaystyle \frac{\Delta y}{\Delta x}\qquad$ is negative.
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