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 90: 30

Answer

please see image

Work Step by Step

Graphically, $m$ is the slope of the line $y=mx+b$: $m=\displaystyle \frac{\Delta y}{\Delta x} =\displaystyle \frac{Rise}{Run}$ b is the y-intercept -------------------- First, write the equation in the form $y=mx+b$ $y-\displaystyle \frac{1}{4}x=-2\qquad/+\frac{1}{4}x$ $y=\displaystyle \frac{1}{4}x-2$, from where we read: slope=$\displaystyle \frac{-1}{4}$, y-intercept: $-2$. 1. Determine the y-intercept, and plot the point $(0,-2)$ 2. Use the run-rise logic: for an increase in x by $4$, y will change by $+1$. Moving to the right by four units from $(0,-2)$, the point we arrive at is $(0+4,-2+1)=(4, -1).$ Plot the second point. Two points define a line. Draw a straight line through these two points.
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