Answer
The $x-$ intercept is $-3$.
The graph is shown below.
Work Step by Step
The given equation is
$\Rightarrow 2x-y+6=0$
Add $y$ to each side.
$\Rightarrow 2x-y+6+y=0+y$
Simplify.
$\Rightarrow 2x+6=y$
$\Rightarrow y=2x+6$
The slope-intercept form is
$\Rightarrow y=mx+b$
$y-$intercept is $b=6$.
Plot the $y-$ intercept $A=(0,6)$.
The slope is $m=2$ and
Slope $m=\frac{rise}{run}=\frac{2}{1}$
The next point is $1$ unit right and $2$ unit up from the point $(0,6)$.
Plot the point $B=(1,8)$.
Draw a line through the two points.
From the graph the line crosses the $x-$ axis at $C=(-3,0)$.
Hence, the $x-$ intercept is $-3$.
