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 - Review Exercises - Page 277: 37


The slope is $-\frac{2}{3}$ and the y-intercept is $2$.

Work Step by Step

The equation we are given is in standard form. In order for us to easily see the slope and the y-intercept, we want to rewrite the equation into slope-intercept form. To rewrite the equation in slope-intercept form, we must isolate $y$. First, we subtract $2x$ from both sides: $$3y = -2x + 6$$ To isolate $y$, we divide both sides by $3$. $$y = -\frac{2}{3}x + 2$$ We can now see that the slope is $-\frac{2}{3}$ and the y-intercept is $2$.
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