Given an equation of a line of the form
[tex]y=mx+c[/tex]where m and c are constants.
Then m is the gradient of the line
and c is the y-intercept.
In our case,
[tex]\begin{gathered} x+y=-6 \\ \Rightarrow y=-x-6 \end{gathered}[/tex]Hence m=-1
and
c=-6
The slope -1
the y-intercept = -6