Well, in a site full of physics-minded people such as this, you're going to get a lot of responses that say something along the lines of, "so that total energy is conserved." And this is a perfectly valid statement. If the total energy you're putting into the system (through the wall plug) remains the same, and potential energy (pressure) increases, then kinetic energy (flow) must decrease.
However, this answer is often somewhat unsatisfying. Another answer, won the deals more specifically with the mechanism by which this conservation is accomplished, would be to remind yourself that pressure is the result of resistance to flow. So, if pressure is going up, there must be some increased resistance somewhere down the line. This resistance, which is what is causing the pressure to increase, also causes the flow to slowdown.
Make sense?