Given:
[tex]y=\frac{1}{7}x-1[/tex]To find:
The slope of the line if it were perpendicular to the given line.
Explanation:
The slope of the given line is,
[tex]m=\frac{1}{7}[/tex]So, the perpendicular slope will be,
[tex]\begin{gathered} m_1=-\frac{1}{m} \\ =-\frac{1}{\frac{1}{7}} \\ =-7 \end{gathered}[/tex]Therefore, the slope of the line is -7.
Final answer:
The slope of the line is -7.