Answer:
y = -3x + 14
Step-by-step explanation:
y=x/3−1
The slope of the perpendicular line is the reciprocal of the given equation.
Given is 1/3x. Perpendicular slope is m=-3x
Substitute the perpendicular slope and the point (4,2) in an equation
y = mx + b
2 = -3(4) + b
2 = -12 + b
Find b by isolating
b = 2+12
b = 14
Substitute the slope -3x and b=14 to find the equation of the line.
y = mx + b
y = -3x + 14