Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 6 - Cumulative Review Exercises - Page 801: 9

Answer

The slope of the given equation is $ m=-\frac{1}{2}$ and $ y $ -intercept is $ c=2$.

Work Step by Step

On simplifying equation (1), we get, $\begin{align} & 2x+4y-8=0 \\ & 4y=-2x+8 \\ & \frac{4y}{4}=\frac{-2x+8}{4} \\ & y=-\frac{1}{2}x+2 \end{align}$ Therefore, the equation $ y=-\frac{1}{2}x+2$ …… (2) The above equation is in the form of $ y=mx+c $, where $ m $ is slope and $ c $ is the intercept. Therefore, from (2) it can be concluded that $ m=-\frac{1}{2}$ and $ y $ -intercept is $ c=2$.
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