Answer:
The equation of the line that is perpendicular to [tex]y = \frac{1}{5}[/tex] is [tex]x = -4[/tex].
Explanation:
A line is represented by following equation:
[tex]y = m\cdot x + b[/tex]
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]m[/tex] - Slope.
[tex]b[/tex] - x-Intercept.
The slope of a line that is perpedicular to a given line can be determined in terms of a slope:
[tex]m_{\perp} = -\frac{1}{m}[/tex]
[tex]m_{\perp} = -\frac{1}{0}[/tex] (Undefined)
As result is undefined, it is meant that new line is a vertical line, whose form is:
[tex]x = a[/tex]
Therefore, the equation of the line that is perpendicular to [tex]y = \frac{1}{5}[/tex] is [tex]x = -4[/tex].
