Write an equation in slope intercept form for the line that is perpendicular to
y= -1/4 x +2 and passes through the points (-4, 3

Linear equation given as traverse
You need to find
- Coefficient of a straight line perpendicular
- Coefficient of b  straight line perpedicular

Coefficient a

We are looking for the inverse of the number of opposite sign
a₁ = - 1/4  ⇔ a₂ = 4
substantiation
a₁ *a₂ = -1
- 1/4 * a₂ = -1
a₂ = -1 * (- 4)

to the model equations we put all the known values
a₂ = 4    P=(-4,3)
                    x,y
y = ax + b
3 = 4*(-4) + b   

we can calculate b , because it is the only unknown

3 = -16 + b
b = 3 + 16 = 19

simple perpendicular
y = 4x + 19