Answer
The $x-$ intercept is $-6$.
The graph is shown below.
Work Step by Step
The given equation is
$\Rightarrow y=\frac{1}{2}x+3$
The slope-intercept form is
$\Rightarrow y=mx+b$
$y-$intercept is $b=3$.
Plot the $y-$ intercept $A=(0,3)$.
The slope is $m=\frac{1}{2}$ and
Slope $m=\frac{rise}{run}=\frac{1}{2}$
The next point is $2$ unit right and $1$ unit up from the point $(0,3)$.
Plot the point $B=(2,4)$.
Draw a line through the two points.
From the graph the line crosses the $x-$ axis at $C=(-6,0)$.
Hence, the $x-$ intercept is $-6$.
