By definition, the Slope-Intercept form of the equation of a line is:
![y=mx+b](https://img.qammunity.org/2023/formulas/mathematics/high-school/smsb8cbft03lwblmi49nf2l6jby2ofxzws.png)
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:
![y=-7-3x](https://img.qammunity.org/2023/formulas/mathematics/college/h5tkxgduujgk2nd38al8u1pypih80xniun.png)
You can rewrite it as following:
![y=-3x-7](https://img.qammunity.org/2023/formulas/mathematics/college/vk181aasrerk1jpvvchvxu0d5hcsnj8im7.png)
Therefore, knowing the explained before, you can identify that:
![\begin{gathered} m=-3 \\ b=-7 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/j31es1ttwbv0mj5tdg4o9kpo5o0svtnvsu.png)
The answer is:
• Slope:
![m=-3](https://img.qammunity.org/2023/formulas/mathematics/high-school/xi0yygxyhi40f13z6k2xjrjik2ignstrp6.png)
• y-intercept:
![b=-7](https://img.qammunity.org/2023/formulas/mathematics/college/5n50o6dtg7k2xztmb1zilu720d46b91x2h.png)