Two possible hyper planes and margins between positive and negative examples. White triangles are positive examples. Black dots are negative examples. A solid line shows a hyper plane. Two dashed lines are the boundaries between the positive and negative examples. An SVM finds the optimal hyperplane, which is the one with the maximum margin.
Mitsumori et al. BMC Bioinformatics 2005 6(Suppl 1):S8 doi:10.1186/1471-2105-6-S1-S8