As I know the standard linear equation has the following form in $R^2$:
$w_1 x_1 + w_2 x_2 = b$ where $b$ is the intercept with $x_2$
Also I know that a decision boundary in $R^2$ for a perceptron is a line. However I read everywhere that the decision boundary equation is the following:
$w_1 x_1 + w_2 x_2+ b = 0$
Why is that? Shouldn't it be $w_1 x_1 + w_2 x_2 - b = 0$!?