Support vector machines in R: Finding the equation of a hyper plane (in 6 dimensions) and showing it's correct
I over complicated the answer I was looking for. If you have the equation of the hyperplane, you can test it against each point in the dataset. If all points of class 1 are ALL (above or below) the intercept and the converse is true for all points of class -1. Then the hyperplane separates the two classes