Lines m and p are perpendicular. if the slope of line m is - 3 what is the slope of line p

For two lines to be perpendicular, their slopes must be negative reciprocals of one another, mathematically:

m1*m2=-1, in this case our reference line has a slope of - 3 so:

-3m=-1 divide both sides by - 3

m=-1/-3

m=1/3

So the perpendicular line will have a slope of 1/3