Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 1 - Graphs - 1.3 Lines - 1.3 Assess Your Understanding - Page 31: 78

Answer

The $y$-intercept is $\frac{1}{2}$. The slope is $m=2$. Refer to the graph below.

Work Step by Step

In a line's equation in slope-intercept form, which is $y=mx+b$, the constant $b$ is the $y$-intercept while the coefficient of $x$, which is $m$, is the slope. Thus, in $y=2x+\frac{1}{2}$ we have: $y$-intercept is $\frac{1}{2}$ slope=$m=2$. Plot the point $(0, \frac{1}{2})$. The slope is $2$ so from $(0, \frac{1}{2})$, move $1$ unit to the right and $2$ units upward to have $(1, \frac{5}{2})$. Connect the points using a straight line.
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