Time Warner Cable offers a digital phone service that can replace your existing home telephone line. When Time Warner installs the digital phone service, you can continue to use the existing phone jacks in your house with your new digital phone service. Time Warner's digital phone service is fully compatible with fax machines, and you can install a fax machine using the digital phone service the same way you would install a fax machine with any home telephone line.
Connect the phone cord to any active phone jack in your house.
Connect the other end of the phone cord to the "Input" or "Line" jack on your fax machine.
Connect another phone cord to the "Output" or "Phone" jack on your fax machine. Connect the other end of the phone line to your phone. You have now installed fax service on your Time Warner Cable digital phone service. You can send and receive faxes as normal using your fax machine.