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