Question

Help me out please! Super please

Answer 1

The equation of the perpendicular line is;

y = -4x + 15

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