Answer:
y = -4x + 4
Step-by-step explanation:
Slope-intercept equation form:
y = mx + b
In which m is the slope and b is the y-intercept.
Perpendicular to Y= 1/4x -4
This line has slope 1/4. When two lines are perpendicular, the multiplication of their slopes is -1. So
m*(1/4) = -1
m/4 = -1
m = -4
Then:
y = -4x + b
Through (2,-4).
This means that when x =2, y = -4. So
-4 = -4*2 + b
-8 + b = -4
b = -4 + 8
b = 4
So
y = -4x + 4
