Algebra 1

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

Chapter 5 - Linear Functions - Mid-Chapter Quiz - Page 319: 11


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

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 definition to find the slope and $y$-intercept of $3x+4y=12$ First, we must write this equation in slope intercept form. To do so, we subtract $3x$ from each side of the equation: $4y=12-3x$ Then, we divide by $4$ on both sides of the equation: $y=-\frac{3}{4}x+\frac{12}{4}$ We simplify: $y=-\frac{3}{4}x+3$ Since $-\frac{3}{4}$ takes the place of $m$, it is the slope. Since $3$ takes the place of $b$, it is the $y$-intercept.
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