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