in the equation y = 2x + 4, you know that the gradient is 2 (the number before x).
for a perpendicular line you need the negative reciprocal of 2, which is - \(\frac{1}{2}\) .
you then need to use the equation
y - \(y_{1}\) = m(x - \(x_{1}\) )
substitute in your coordinates:
y - -2 = - \(\frac{1}{2}\) (x - 3)
simplify:
y + 2 = -0.5x + 1.5
rearrange:
y = - \(\frac{1}{2} x\) - \(\frac{1}{2}\)
