Answer:
slope of perpendicular line is -1/4
Step-by-step explanation:
slope of standard equation of line that is ax+ by = c is
slope m = -a/b
given equation is
12x – 3y = 81
comparing it with ax+ by = c
a = 12
b = -3
thus
slope of given line = -12/-3 = 4
we also know product of slope of two perpendicular line is -1
let the slope of other line be m
thus,
product of given line line and perpendicular line is -1
4*m = -1
m = -1/4
Thus,
slope of perpendicular line is -1/4
