The product of the slopes of the perpendicular lines is -1
That means if the slope of one of them is m, then the slope of the other is -1/m
We reciprocal the value and change the sign
In the form of the equation

The rule of the slope is

Since the given equation is

Then a = 12 and b = 3
Use them in the rule above to find the slope

The slope of the given line is -4
To find the slope of the perpendicular line:
Reciprocal 4 and change the sign from negative to positive
The slope of the perpendicular line is

Since the form of the linear equation is

m is the slope
b is the y-intercept
Since the slope of the line is 1/4, then

To find b use the given point (-4, 2)
Substitute x in the equation by -4 and y by 2

Add 1 to both sides

The equation of the perpendicular line is
