Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 6 - Systems of Equations and Inequalities - 6-1 Solving Systems by Graphing - Mixed Review: 51

Answer

$-\frac{1}{2}$

Work Step by Step

In order for two non-vertical lines to be parallel, they must have the same slope. Therefore, to find the slope of a line parallel to this one, we must identify the slope of this one. The slope-intercept form of a linear equation of a non vertical line is $y=mx+b$, where $m$ is the slope and $b$ is the $y$-intercept. We use this to find the slope of $y=-\frac{1}{2}x-4$. Since $-\frac{1}{2}$ replaces $m$ in the equation, it is the slope we are looking for, and would be the slope of a parallel line.
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