Answer
The $y$-intercept is $\frac{1}{2}$.
The slope is $2$.
See the graph below.
Work Step by Step
This form of the equation is the slope-intercept form. $y=mx+b$
In this form, the slope of the line equals to the coefficient of $x$ (which is $m$) and the $y$-intercept equals to the constant $b$.
Therefore in the equation $y=2x+\frac{1}{2}$:
The $y$-intercept is $\frac{1}{2}$.
The slope is $m=2$.
In order to graph the line, we have to sketch the $y$-intercept, that is $(0,0.5)$.
As the slope is $2$, we can find another point that we can also sketch.
The slope is the change in $y$ for every $1$ unit change of $x$.
Thus, a slope of $2$ means a $1$-unit increase in $x$ will result to a $2$-unit increase in $y$.
Using $(0, 0.5)$ as the starting point and a slope of $2$, the coordinates of another point on the line would be:
$(0+1, 0.5+2)=(1, 2.5)$
Plot the two points then connect them using a straigiht line.
Refer to the graph above,
