The correct answer for the location of the world Food Summit held in 2002 is option 2, Rome. The World Food Summit is an international conference organized by the Food and Agriculture Organization (FAO) to discuss and address global issues related to food security and nutrition. Rome, Italy is the headquarters of FAO, and it is where the World Food Summit is usually held.

Option 1, New York, is incorrect. Although New York is the location of the United Nations headquarters, the World Food Summit in 2002 was not held there.

Option 3, Geneva, is also incorrect. Geneva is the headquarters of several global organizations such as the World Health Organization (WHO), the Red Cross, and the World Trade Organization (WTO). However, it was not the location for the World Food Summit in 2002.

Option 4, Durban, is also incorrect. Durban is a city in South Africa and was not the location for the World Food Summit in 2002.

In conclusion, the correct location for the World Food Summit held in 2002 was Rome, Italy.