Algebra 1

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

Chapter 5 - Linear Functions - 5-3 Slope-Intercept Form - Practice and Problem-Solving Exercises: 52

Answer

Slope: $-\frac{1}{2}$ $y$-intercept: $0$

Work Step by Step

We first must put the equation $y+\frac{1}{2}x=0$ into slope-intercept form. To do this, we subtract $\frac{1}{2}x$ from both sides of the equation: $y=-\frac{1}{2}x+0$ 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 pick out the slope and the $y$-intercept from the equation $y=-\frac{1}{2}x+0$. Since $-\frac{1}{2}$ takes the place of $m$ in the equation, it is the slope. Since $0$ takes the place of $b$ in the equation, it is the $y$-intercept.
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