Machine Learning - Supervised Learning - Classification Example

Classification: Say the x's are in two dimensional space and the x's can be represented on two axes on a graph and the y would be represented by two symbols, an 0 or a 1. These y's are positioned at the intersections of the (x1, x2) coordinate. Given a new point, x1 and x2, how is it classified, a 0 or a 1. There would be a line or curve separating the 0's and 1's and the new point would fall on one side or the other.