Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 1 - Linear Functions - 1.3 Fundamentals of Graphing and Slope - 1.3 Exercises - Page 52: 57


Slope: $-\frac{3}{5}$ $y$-intercept: $(0,\frac{12}{5})$

Work Step by Step

Rearrange the equation into slope-intercept form. $3x+5y=12$ $5y=-3x+12$ $y=-\frac{3}{5}x+\frac{12}{5}$ The slope is the coefficient of $x$, and the constant term that is added is the $y$ value in the $y$-intercept of $(0,y)$. Slope: $-\frac{3}{5}$ $y$-intercept: $(0,\frac{12}{5})$
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