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The negative reciprocal of the slope of the line to which it is perpendicular.
The slope of a perpendicular line is not defined.
If we call the slope m we can say that the slope of the perpendicular line is -1/m In this case as the slope, m, is 13 the slope of the perpendicular is -1/13 or -0.07692307692
The line perpendicular to a line with a slope of 1/5 has a slope of -5.
-5/3 it is always the opposite reciprocal for a perpendicular slope