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: 26

Answer

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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 -------------------- From $y=x-3$ we read: slope=$1$, y-intercept: $-3$. Following the procedure outlined in the examples on p.80, we 1. Determine the y-intercept, and plot the point $(0,-3)$ 2. Use the run-rise logic: for an increase in x by $1$, y will increase by $1$. Moving to the right by one unit from $(0,-3)$, the point we arrive at is $(0+1,-3+1)=(1, -2).$ Plot the second point. Two points define a line. Draw a straight line through these two points.
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