You can think of it in terms of partial charges and stability of the resulting ion if the bond breaks.
A carbon that is more highly substituted, i.e. an sp3 carbon, is a more stable cation if one of the bonds breaks, leaving it with three substituents that can donate electron density to the carbocation. So an sp3-sp3 bond is relatively weak and doesn't mind breaking that much because the three substituents that are left can help neutralise the positive charge.
An sp2 carbon on the other hand, is less substituted. So if one of the bonds were to break, it would be left with only two substituents: not stable, as these are unable to neutralise the charge as well as three substituents. Therefore an sp2-sp3 bond is stronger and doesn't like breaking.
Hope that helps!