By definition, the Slope-Intercept form of the equation of a line is:
[tex]y=mx+b[/tex]Where "m" is the slope of the line and "b" is the y-intercept.
In this case, you have the following equation of the line given in the exercise:
[tex]y=-7-3x[/tex]You can rewrite it as following:
[tex]y=-3x-7[/tex]Therefore, knowing the explained before, you can identify that:
[tex]\begin{gathered} m=-3 \\ b=-7 \end{gathered}[/tex]The answer is:
• Slope:
[tex]m=-3[/tex]• y-intercept:
[tex]b=-7[/tex]