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 91: 72

Answer

$y=\displaystyle \frac{3}{4}x-\frac{5}{4}$

Work Step by Step

Target: $y=mx+b,$ (find m and b). Slope: Our line has the same slope as the given line since they are parallel. Rewrite the given line in slope-intercept form. $3x-4y=8\qquad/-3x$ $-4y=-3y+8\qquad/\div(-4)$ $y=\displaystyle \frac{3}{4}x-2$ the slope we are after is $m=\displaystyle \frac{3}{4}$ Intercept: The form of our linear equation is $y=\displaystyle \frac{3}{4}x+b$ To find b, substitute the coordinates of the given point and solve for b. $-1=\displaystyle \frac{3}{4}(\frac{1}{3})+b$ $-1=\displaystyle \frac{1}{4}+b\qquad/-\frac{1}{4}$ $-\displaystyle \frac{5}{4}=b$ Thus, $y=\displaystyle \frac{3}{4}x-\frac{5}{4}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.