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 - Page 253: 76


The statement is true.

Work Step by Step

To determine if the statement is true or false, we first want to rewrite the equation in point-slope form to be able to obtain the slope easily. We first subtract $3x$ from each side to get: $$2y = -3x + 5$$ To isolate $y$, we divide each side by $2$: $$y = -\frac{3}{2}x + \frac{5}{2}$$ The slope-intercept form is $y = mx + b$, where $m$ is the value of the slope. In the equation we just derived, the slope is $-\frac{3}{2}$. Therefore, the statement is true.
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