Answer:
The equation of the perpendicular line is;
y = -4x + 15
Step-by-step explanation:
Firstly, we get the slope of the former line
we do this by comparing its equation with;
y = mx + b
This is the standard form with m representing the slope
Thus;
for y = x/4 -2
y = x(1/4) -2
slope = 1/4
Since the other equation is perpendicular to this line, the product of theirs slopes will give -1
Mathematically;
m2 * 1/4 = -1
m2 = -4
So we want to write the equation of the line with slope -4 and passing the point (4,-1)
we have;
y-y1 = m(x-x1)
y + 1 = -4(x-4)
y = -4x + 16-1
y = -4x + 15
