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: 52

Answer

The slope of the line is $\frac{1}{2}$ and the y-intercept is (0,$\frac{7}{2}$).

Work Step by Step

We are given that $2y-7=x$. We can transform this line 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, add 7 to both sides. $2y=x+7$ Divide both sides by 2. $y=\frac{1}{2}x+\frac{7}{2}$ $m=\frac{1}{2}$ and $b=\frac{7}{2}$ Therefore, the slope of the line is $\frac{1}{2}$ and the y-intercept is (0,$\frac{7}{2}$).
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