Vapor Pressure of Solutes and Solvents
If the vapor pressure is lower for the solute than the solvent, then the melting point of the solvent will go down. On the other hand, if you add a solute with a higher vapor pressure, the melting point will go up. The lower the vapor pressure, the more heat required to bring to a boil.
Vapor Pressure of Water
Frozen water at 0 degrees C has a vapor pressure of about 4.5840 P/mmHg.
The vapor pressure of salt water is lower.
Polar Molecules
Salt molecules are far more polar than water. The water will create strong bonds with the salt, and as stronger bonds appear, the vapor pressure decreases. Solutes that create strong bonds with solvents will lower melting points. The converse is true as well.
Non-Polar Molecules
Non-polar molecules are less likely to create strong bonds, and would thus increase the melting point. For example, carbon disulphide is non-polar and would cause the melting point of water to increase.