Perpendicular slopes are negative reciprocals of each other.
This means that if m1 is the slope of a line y and m2 is the slope of a perpendicular line to line y, we will have the following equality:
[tex]m_1=-\frac{1}{m_2}[/tex]Then, if the slope of the original line is m=-3/5, the slope of the perpendicular line will be:
[tex]m_p=-\frac{1}{m}=-\frac{1}{-\frac{3}{5}}=\frac{5}{3}[/tex]Answer: The slope of the perpendicular line will be mp=5/3.
