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What would the slope of a line be if it were perpendicular to the line: y = 5x - 38 ?

Sagot :

Given:

The line equation is,

[tex]y=5x-38[/tex]

To find:

The slope of the line which is perpendicular to the given line.

Explanation:

The slope of the given line is m = 5.

So, the perpendicular slope will be,

[tex]\begin{gathered} m\times m_1=-1 \\ 5m_1=-1 \\ m_1-\frac{1}{5} \end{gathered}[/tex]

Therefore, the slope of the line, if it were perpendicular to the given line, is

[tex]-\frac{1}{5}[/tex]

Final answer:

The slope of the line is,

[tex]-\frac{1}{5}[/tex]

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