It's provided to me by my ISP which is Cox. If I were to unplug the power cord what would happen, would my phone no longer work without another technicians appointment. I know that the motorola cable modem with no phone service you can power cycle that one.
Turn off the modem. Wait 5-10 seconds. Turn the modem back on. If there isn't an on/off switch on the modem: unplug the modem, wait 5-10 seconds, plug the modem back in.
With my Cable company it's the first thing you do (or the first thing tech support tells you to do) when there is any problem. It is set up to restart after power failures and brownouts, so I would say go ahead. If the phone doesn't work after you power cycle, Power cycle again and see if that time works.