The given line is:
[tex]\begin{gathered} x+y=-1 \\ y=-x-1 \end{gathered}[/tex]As we compare it to line equation of slope intercept form: y=mx+c
then the slope of given line is
[tex]m_1=-1[/tex]And the slope of line perpendicular to it is:
[tex]\begin{gathered} m_2=-\frac{1}{m_1} \\ m_2=-\frac{1}{-1} \\ m_2=1 \end{gathered}[/tex]=