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What would the slope of a line be if it were perpendicular to the line: y = 1 / 7x - 1 ?

Sagot :

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.