Will this graphics card work on my computer

On the face of it yes it should but thats making quite a few assumptions.
To be on the safe side if you can post a more complete set of system specs i would be glad to give a definate answer and maybe offer a sugestion as to an alternative card. The 9500 is a pretty low level card.
Whats needed on top of what you have alread listed is.
Motherboard, make and model, or just confirm that its a PCIE graphics card we are talking about.
Power supply, Amps on the +12v rail is the info needed or make and model again and i can try and google the info.
And lastly your monitor, size/res and what games you are intending to play.

Mactronix

Actually I now believe my motherboard is an Intel 965

If you download and run cpu-z, it will tell you what your motherboard is. Primarily, as mactronix asked, does it have a pci-e slot, and agp slot, or none at all.

Look at the label on the psu. It should say what the +12v amps are. Does it have a 6 pin pci-e connector? At 300w, I would doubt it.

I would think that the best you can do is a vga card that is entirely powered by the pci-e slot like the 9500GT. There are some amd cards that would do it also.

Get an HD 4670. It runs at a max 60w and doesn't need a power connector while also blowing the pants off a 9500gt.

Thanks for the info.
The 4670 was what i was thinking but needed to ask about your system first.
The 4670 is by far your best option, it will run at your res quite well, here is a review of the 4830 which includes the 4670 inits benchmark charts
http://www.techpowerup.com/reviews [...] 830/6.html

Mactronix