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 3.5 - The Point-Slope Form of the Equation of a Line - Exercise Set - Page 262: 50


False "The slope of the line whose equation is $3x + y = 7$ is $-3$."

Work Step by Step

This statement is false. Let us look at the slope by transforming this equation into the slope-intercept form. The slope-intercept form of this equation is given by the formula: $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. First, we subtract $3x$ from each side of the equation: $$y = -3x + 7$$ This equation has been rewritten in slope-intercept form. As we can see from this equation, the slope is $-3$, not $3$. We can now rewrite the original statement into a true statement in this way: "The slope of the line whose equation is $3x + y = 7$ is $-3$."
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