Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 3 - Section 3.4 - The Slope-Intercept Form of the Equation of a Line - Exercise Set: 25

Answer

y=$\frac{3}{4}x-3$ m=$\frac{3}{4}$ y-intercept=-3

Work Step by Step

First isolate y in the given equation. 3x-4y=12 3x-3x-4y=-3x+12 -4y=-3x+12 -1(-4y)=-1(-3x+12) 4y=3x-12 $\frac{4y}{4}$=$\frac{3x-12}{4}$ y=$\frac{3}{4}$x-$\frac{12}{4}$ y=$\frac{3}{4}$x-3 Now that the equation is in the form of y=mx+b you can see than m=$\frac{3}{4}$ and y-intercept=-3
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