Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12

y = (-1/3)x + 5

Explanation:

the gradient of required equation (m2)

the gradient of given equation (m1) = 3

m1*m2 = -1 ( they are perpendicular)

3*m2 = -1

m2 = -1/3

required equation

y = m2 + c

( 9,2) satisfy the above equation

2 = (-1/3)*9 + c

c = 5

y = (-1/3)x + 5

c. magnitude and direction