Kentucky and North Carolina are both members of the Drivers License Compact (DLC). This agreement requires member states to report back to the state where a motorist is licensed traffic violations that they receive out of state.
Due to both states taking part in the DLC, Kentucky's courts or their Cabinet of Transportation should report this speeding ticket information to the North Carolina Division of Motor Vehicles. When this transfer of information is done the NC DMV will likely place the traffic violation on your driving record.
According to the NCDOT Division of Motor Vehicles, if you are convicted of certain moving violations which take place within the State of North Carolina, driver license points are placed against your record. The DMV does not mention points for out of state offenses so you will need to check with them to see if points will be assigned or not for the KY speeding offense.