Answer:
-1
Step-by-step explanation:
Before finding the slope of the line, we have to rewrite its equation in the slope-intercept form, so in the form
[tex]y=mx+q[/tex] (1)
Here the equation of the line is
[tex]6x+6y+11=0[/tex]
By manipulating the equation we find:
[tex]-6x-11=6y\\y=-\frac{6x+11}{6}\\y=-x-\frac{11}{6}[/tex]
So, the equation of the line in the slope-intercept form is
[tex]y=-x-\frac{11}{6}[/tex]
And by comparing it with (1), we find:
[tex]m=-1\\q=-\frac{11}{6}[/tex]
So, the slope is -1, and the y-intercept is -11/6.
