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 - Test - Page 278: 12


We find that the slope is $-2$ and the y-intercept is $6$.

Work Step by Step

This equation is written in standard form. To easily find the slope and y-intercept of the equation, we want to rewrite the equation in slope-intercept form. The slope-intercept form is: $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. We first subtract $2x$ from each side to isolate $y$: $$y = -2x + 6$$ Looking at this equation, we see that $m$, the slope, is $-2$ and $b$, the y-intercept, is $6$.
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