I am looking for a mountain peak over 8000 feet anywhere in he world
that the slope(peak divided by distance from the sea's edge} is
greater than 2750 feet per mile in from the shore

Thank you for the lead, flajason.  Pico Teide does not quite fit the
answer, but a mountain on another Atlantic island does perfectly.

Pico do Cano, the active volcano of the island of Ilha do Fogo, is
2,828 meters high (9,281 feet) and is the highest point in the Cape
Verde group.  According to the topographic map of Fogo available at <a
href="http://www.capeverdetravel.com">Cape Verde Travel</a> [click on
Islands in the left frame and then on Fogo in the top frame] it is 5
km (3.106 mi) from the island's eastern shore.  This gives a slope of
2,988 feet.

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Clarification of Answer by surajambar-ga on 08 Mar 2003 18:17 PST

I have located a more precise map of Fogo.  It is located in Orlando
Riberio's book _A Ilha do Fogo e as Suas Erupções_
Lisboa: Tipografia Minerva, 1960.  From the highest point on the
caldera of Pico do Cano (on the northeast section of the rim) it is
5.2 kilometers (plus or minus 100 meters in my estimation) to the
nearest point on the coast, just north of Pta. Coxa de Baleia.  5.20
km is 3.23 mi.  The peak's height - 2,829 m x 3.281 = 9,282 ft.  9,282
/ 3.23 = 2,873 feet per mile.

My first thought was of Mauna Loa in Hawaii at 13,680ft and relatively
close to the shoreline.
However, the closest distance of the peak to the shoreline appears to
be between 9-10 miles giving a slope of between 1368-1520 ft/mile. Not
close enough.

I will give this as a lead to any researchers looking this up.
Pico Teide on Tenerife in the Canary Islands appears to be a good
candidate.
It is over 12,000 feet tall but I am unable to locate the exact
distance to the shore. Eyeballing it on a map appears to be 5-6 miles.
At 5 miles it's a lot closer to 2750 ft/mile than anything else I have
found. If it is 4.4 miles or closer, it's a winner...!

Good luck in your search :)