Answer:
The slope is undefined.
Step-by-step explanation:
The given line is [tex]x+11=0[/tex]
This implies that;
[tex]x=-11[/tex].
This is a vertical line.
The slope of a vertical line is undefined.
You can think of it as;
[tex]0y+x+11=0[/tex]
This implies that;
[tex]y=-\frac{1}{0}x-\frac{11}{0}[/tex]
The slope is [tex]m=-\frac{1}{0}[/tex], which is not defined.