The equation of line a is y=-1/4x+3 if line b runs perpendicular theough (2,6) what would be the equation of line b?

The formula of this perpendicular line is y = 4x - 2

Step-by-step explanation:

In y = - 1/4x+3 the gradient is - 1/4.

If two lines are perpendicular, then their gradients will multiply together to give - 1.

Use this to find the gradient a of the perpendicular line.

-1/4 * a = - 1

a = - 1 * - 4 so the gradient a of the perpendicular line = 4.

Substitute (2,6) in y = 4x + b, to find the value of b.

y = 4x + b

(2,6)

6 = (4*2) + b

b = 6 - (8)

b = - 2

So now we have our equation.

The formula of this perpendicular line is y = 4x - 2