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: 37

Answer

please see image:

Work Step by Step

First objective: write the equation in the form $y=mx+b$; $2x=3y$ $3y=2x\qquad/\div 3$ $y=\displaystyle \frac{2}{3}x$ from where we read: slope =$\displaystyle \frac{2}{3}$, y-intercept = 0. Now, From here, we read: slope =0, y-intercept=$\displaystyle \frac{4}{3}$ 1. Plot the point $(0,0)$. 2. Using $m=\displaystyle \frac{\Delta y}{\Delta x} =\displaystyle \frac{Rise}{Run}=\frac{2}{3}$, for a change in x of 3, y changes by +2, which leads us to the point $(0+3,0+2)=(3,2)$ We now have two points... Draw a straight line through $(0,0)$ and $(3,2)$.
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