Answer
The slope is $m=\frac{1}{2}$.
The $y$-intercept is $2$
The graph is attached 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 $y=\frac{1}{2}x+2$ we have:
$y$-intercept is $2$
slope=$m=\frac{1}{2}$.
Plot the point $(0, 2)$.
The slope is $\frac{1}{2}$ so from $(0, 2)$, move $2$ units to the right and $1$ unit upward to have $(2, 3)$.
Connect the points using a straight line.