LPC1769 doesn't have EEPROM ... you can use the product selector on nxp.com to see what parts in the family do:
LPC1700 32-bit MCUs|ARM Cortex-M3 Cores|NXP
(but basically its the LPC177x and LPC178x parts).
The LPCXpresso board for LPC1769 includes an EEPROM, so you could start from that. Link to the schematic:
LPCXpresso board for LPC1769 with CMSIS DAP probe|NXP
The LPCOpen package for this board includes an example that accesses the EEPROM; look at the perip_i2c project.