I have a single neuron with 2 inputs, and identity activation, where f
is activation function and u
is output:
$u = f(w_1x_1 + w_2x_2 + b) = w_1x_1 + w_2x_2 + b$
My guessing for the separation line equation:
$u = w_1x_1 + w_2x_2 + b$
$\implies x_2 = \dfrac{u - w_1x_1 - b}{w_2}$
$\implies x_2 = (\dfrac{-w_1}{w_2})x_1 + \dfrac{u-b}{w_2}$
And the questions are:
1) Is the separation line equation above correct?
2) And when f
is not identity function, is the separation line equation still the same? or different?