Given:
There are given that the two points;
![(-1,7)\text{ and (-8,7)}](https://img.qammunity.org/2023/formulas/mathematics/college/z8ln7xlkwxvb9mnrjbt5lgwpmd21cm27n6.png)
Step-by-step explanation:
To find the slope of the line from the given point, we need to use the slope formula:
So,
From the formula of the slope:
![m=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/78uaqhwt0aws3qfwxigaftpihnmb1gzxtp.png)
Where,
![x_1=-1,y_1=7,x_2=-8,y_2=7_{}](https://img.qammunity.org/2023/formulas/mathematics/college/zm7yvzinsrw5izdfohjzsm4ofkzzwv6cac.png)
Then,
Put all the above values into the given formula:;
So,
![\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=\frac{7_{}-7_{}}{-8_{}-(-1)_{}} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/1c52tttaq8dwgfa5hv4m75r1jnvhfome0t.png)
Then,
![\begin{gathered} m=\frac{7_{}-7_{}}{-8_{}+1_{}} \\ m=(0)/(-7) \\ m=0 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ieo5roqyn00g8p6n45znh6jcj997dmbozo.png)
Final answer:
The slope of the given line is 0.
Hence, the correct option is B (0)