Perpendicular to 3y = x - 4 and passes through the point (-2,2)

y = -3x - 4

Step-by-step explanation:

so 3y = x - 4 => y = 1/3x - 4/3

Perpendicular lines have slopes that are negative reciprocals of one another

so slope of perpendicular line is -3

so y = mx + b

y = -3x + b

Using (-2,2)

2 = -3(-2) + b

2 = 6 + b

b = -4

so y = -3x - 4