This depends on the TV's available inputs. The Pavilion m7570n has only a VGA output in the standard configuration.
Thus if the TV has a VGA port, turn off the computer and the TV. Then connect a standard VGA (RGB or D-sub 15-pin) m/m cable between the computer and the TV. To use the TV speakers, connect a 3.5 mm audio patch cable between the computers Line-out (green speaker port) to the VGA audio in. Turn on the TV and set the input to VGA (with the Source or Input button on the remote or the TV). Then turn on the computer. Windows XP should find the correct resolution to work with the TV. (If you turn on the TV after turning on the computer, you may get an unsupported signal. Press Ctrl-Alt-Del twice to restart the computer.) If it doesn't work, you may need to connect a different monitor and set the computer to a low resolution before connecting the TV and the computer.
If the TV only has composite or component video inputs, you will need a VGA to video converter (http://www.svideo.com/pctocomponent.html
for example). A VGA to component cable will not work; those are for projectors that read an RGB input. TVs interpret YPbPr.
If you have added a video graphics card, you may have an HDMI and/or DVI port(s) on the card. In that case, check the specs of the TV. Some TVs will support HDMI or DVI-HDMI inputs from a computer. Others will not (since computer video signals are not the same as the signal from a set-top box). If you use a DVI-HDMI connector, make sure to use the HDMI port labeled for DVI and connect the audio cable as with the VGA connection. If you use an HDMI connection, you may need to set the sound properties to that of the HDMI port. (Find the control panel item for sound (under Hardware) and then select Manage Audio Devices. Set the Playback properties. If it doesn't work, use an audio patch cable.) Some TVs have RCA audio inputs for the HDMI-DVI connector. In that case, you will need a female 3.5 mm to RCA M/M adapter (if you use a 3.5 mm patch cable). There is a similar device if you want to use an RCA audio cable. You may need to enable the video ports on the graphics card before swapping monitors.
Some video cards have a TV out. In that case, connect the appropriate connector (should come with the video card). Then connect to the component, composite or S-video input on the TV.
Again turn off the TV and the computer before making any connections.
You will probably need to provide your own cables for must of these connection options.
I hope this helps.