Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 3 - Section 3.4 - The Slope of a Line - Exercise Set: 50

Answer

The slope of the line is $\frac{4}{7}$ and the y-intercept is (0,-4).

Work Step by Step

We are given that $4x-7y=28$. We can transform this is equation into the slope-intercept form $y=mx+b$, where m is the slope of the line and the point (0,b) is the y-intercept. First, subtract 4x from both sides. $-7y=-4x+28$ Divide both sides by -7. $y=\frac{4}{7}x-4$ $m=\frac{4}{7}$ and $b=-4$ Therefore, the slope of the line is $\frac{4}{7}$ and the y-intercept is (0,-4).
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