Erm, vapour pressure is the pressure of the vapour in equilibrium with its non-vapour phases (either solid or liquid), so, in effect, you are discussing the tendancy for things to evaporate from a non-vapour phase. So with that in mind then you need to consider the inter-molecular forces in the liquid or solid state. I presume that you are considering a general trend with temperature so you can ask the simple question: what happens when I put more energy into the system, are molecules more likely or less likely to evaporate. The actual relationship is more complex than a simple linear relationship and you may or may not have covered it in thermodynamics yet.