Answer
The slope is $m=\frac{1}{2}$.
The $y$-intercept 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 $y=\frac{1}{2}x+2$:
The slope is $\frac{1}{2}$.
The $y$-intercept is $2$.
In order to graph the line, we have to sketch the $y$-intercept, that is $(0,2)$.
As the slope is $\frac{1}{2}$, 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 $\frac{1}{2}$ means a $1$-unit increase in $x$ will result to a $\frac{1}{2}$-unit increase in $y$.
Using $(0,2)$ as the starting point and a slope of $\frac{1}{2}$, the coordinates of another point on the line would be:
$(0+1,2+0.5)=(1,2.5)$
Plot the two points then connect them using a straigiht line.
Refer to the graph above,
