Sony eSupport > Vaio PCV-RS510 desktop computer > Manuals, Specs, and Warranty page,http://esupport.sony.com/US/perl/model-documents.pl?mdl=PCVRS510
On this page I invite you to left-click on - Marketing Specifications, under the SPECS heading.
A small window will come up on the left, showing a PDF file of the marketing specifications.
Expand it to full size.
(Top right corner. Left-click on the Maximize icon, in-between the Minimize icon, and the Red X)
The graphics expansion slot uses the AGP technology.
(Accelerated Graphics Porthttp://en.wikipedia.org/wiki/AGP
It is the AGP 8X version.
Advise you need an AGP graphics card, that is AGP 8X, and has a DVI port.
( I'm using an HP 2009m monitor right now, but I have the PCI Express 1.1 technology)
Digital Visual Interface,http://en.wikipedia.org/wiki/Digital_Visual_Interface
I wouldn't advise getting too 'crazy' with buying the best AGP 8X graphics card available.
A decent AGP 8X graphics card that doesn't 'break the bank', will do just fine.
Here are two examples;
BEFORE you install a graphics card, here are some tips;
A) Computer unplugged from power.
B) Observe Anti-Static Precautions.
Your body carries Static electricity.
Static will fry out (Short Circuit), the delicate hardware components inside a computer.
Computer unplugged from power, computer case open, working on a table; TOUCH the metal frame of the open computer case, BEFORE you reach inside.
Should you walk away in the middle of working on your computer, upon your return be sure to Touch the metal frame again.
C) Computer on, and Windows loaded, Install the CD that comes with the graphics card FIRST.
Load the software from that disk.
Then shut the computer down, unplug from power, and after observing Anti-Static precautions, install the graphics card.
[Also, sometimes in our zealousness to get things going again, we forget to unplug the monitor from the computer's Integrated Graphics, and plug the monitor into the graphics card ]