mynameisholly!
To fix your confusion, there are two common types of broadband used in the UK:
Cable: This is provided by NTL and Telewest down a coaxial cable and does not require any sort of phone-line to be installed in the house.
ADSL: This is provided by BT and all-manner of other people over BT phone-lines (twisted-pair). This requires a BT phone-line to be installed and BT line rental to be paid.