In order to solve this problem, we need to use proportions.
First, let's find the number of hours from 6:00 A.M. to 2:00 P.M.:
from 6 am to 12 pm, there are 6 hours (12 - 6 = 6)
from 12 pm to 2 pm, there are 2 hours more, since after 12 pm comes 1 pm, then 2 pm.
Thus, from 6:00 A.M. to 2:00 P.M. there are 8 hours (6 + 2 = 8).
Now, since the temperature drops 2 degrees Celsius each hour, after 8 hours it will drop:
(2ºC) * 8 = 16ºC
Finally, to find the final temperature, we subtract 16ºC from the initial temperature (2ºC):
2ºC - 16ºC = -14ºC
Therefore, at 2:00 P.M., the temperature is -14ºC.