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.