Question

What is the slope of a line perpendicular to the line whose equation is

12x – 3y = 81. Fully reduce your answer.

Answer 1

slope of perpendicular line is -1/4

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