Given:
![y=(1)/(7)x-1](https://img.qammunity.org/2023/formulas/mathematics/college/ict821eutpgp9j1qzwv69f779szwhntm53.png)
To find:
The slope of the line if it were perpendicular to the given line.
Step-by-step explanation:
The slope of the given line is,
![m=(1)/(7)](https://img.qammunity.org/2023/formulas/mathematics/college/5n60fia0d7fzgickpf1jd1a1xnw6ngjl5o.png)
So, the perpendicular slope will be,
![\begin{gathered} m_1=-(1)/(m) \\ =-(1)/((1)/(7)) \\ =-7 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/73vxxlcd02f4tbfhnts77rxxoksx8h43im.png)
Therefore, the slope of the line is -7.
Final answer:
The slope of the line is -7.