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: 15

Answer

Slope: $\frac{1}{4}$ $y$-intercept: $-\frac{1}{3}$

Work Step by Step

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 $y=\frac{1}{4}x-\frac{1}{3}$. We can rewrite this equation in slope-intercept form as $y=\frac{1}{4}x+(-\frac{1}{3})$. Since $\frac{1}{4}$ takes the place of $m$ in the equation, it is the slope. Since $-\frac{1}{3}$ takes the place of $b$ in the equation, it is the $y$-intercept.
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