Why do leaves fall off my pepper plant?

Any instructions on pepper plant care would be useful. I've grown one
from a seed and it could be in better health.

Try these links for pepper-plant caring tips:
http://www.homestore.com/HomeGarden/Gardening/Features/Vegetables/PepperCare.asp
http://www.bonnieplants.com/carepeppers.htm

Dropping leaves, if they yellow before they drop, often signal that
the plant is getting too much water.  I would also check for pests
such as mealy bugs and spider mites.
To prevent overwatering, consider getting a moisture meter, generally
about $5.  It is a device you can poke into the soil to see how dry or
moist it is.  I learned this trick from the person who maintained the
plants in office buildings.  She wandered around with this gizmo and
stuck in into each pot before adding any water.
The pest problem can be solved by purchasing small insecticide spikes
specifically for houseplants.  You stick them into the soil like
fertilizer spikes.  They will stop mealybugs and spider mites, which
are particularly difficult to eradicate.

Good luck!

historybuff