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 94: 119

Answer

Increasing the y coordinate in cell B3, the slope: - remains negative, but less steep (if we increase the number so $-1 < B3 < 2)$ , - becomes 0 if we change it to 2, - becomes positive if we change B3 so that $B3 > 2$

Work Step by Step

Slope of the line $y=mx+b$ is defined as $m=\displaystyle \frac{\Delta y}{\Delta x} =\displaystyle \frac{Rise}{Run}$, Currently, x increases by 2 units (from 1 to 3), and y decreases by 3 units (from 2 to -1). So, $\displaystyle \quad m=\frac{-3}{2}, \quad$ the slope is negative. We can increase the B3 cell (the y coordinate of second point) so it remains negative, but less steep (if we increase the number so $-1 < B3 < 2)$ it becomes 0 if we change it to 2, it becomes positive if we change B3 so that $B3 > 2$
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