Slope of a line that is perpendicular to the given line is -6.
What is slope?
The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
Given equation
[tex]y=\frac{1}{6}x+4[/tex]
It is in the form of [tex]y=mx+b[/tex]
Comparing two equations
Slope :
[tex]m =\frac{1}{6}[/tex]
Slope of a line that is perpendicular to the line:
= [tex]-\frac{1}{m}[/tex]
= [tex]-\frac{1}{\frac{1}{6} }[/tex]
= -6
Slope of a line that is perpendicular to the given line is -6.
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