Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 8 - Coordinate Geometry and Linear Systems - 8.4 - Writing Equations of Lines - Concept Quiz 8.4 - Page 359: 6



Work Step by Step

Let us put the given equation into slope-intercept form using equation solving techniques and equality properties so that we can easily identify the slope: $$3x-2y=-4$$$$3x-3x-2y=-4-3x$$$$-2y=-4-3x$$$$\frac{-2y}{-2}=\frac{-4-3x}{-2}$$$$y=\frac{3}{2}x+2$$ Since $\frac{3}{2}$ takes the place of $m$ when the equation is in slope-intercept form, it is indeed the slope.
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