Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 1 - Precalculus Review - 1.2 Linear and Quadratic Functions - Exercises - Page 18: 8

Answer

slope=-$\frac{3}{4}$

Work Step by Step

When an equation is written in slope-intercept form, or y=mx+b form, m=slope and b=y-intercept. To determine the slope of the line defined by the equation 3x+4y=-8, we'll rewrite the equation in y=mx+b form by solving for y, then observing what the slope is. To do this, our first step will be to isolate the 4y term be subtracting 3x on both sides of the equation, to get 4y=-8-3x Then, to solve for y, we'll divide by 4 on both sides of the equation to get $\frac{4y}{4}$=$\frac{-8-3x}{4}$ y=$\frac{-8}{4}$-$\frac{3x}{4}$ y=-2-$\frac{3}{4}$x y=-$\frac{3}{4}$x-2 (Rearrange) Now that the equation is in y=mx+b form, we can easily see that the slope of the line=-$\frac{3}{4}$
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.