@rayl :-
Boy, this one's a-runnin' and a-runnin', ain't it?
With respect to Slax, it's like Porteus (and to a lesser degree, Puppy); it's not now - and never was - intended for a normal, standard, "full" install.....which appears to be the only thing that many people understand. "If it's not on the main internal drive, how CAN it be 'installed'?"
Short answer is, it's not.....and yet it IS.
These are, quite literally, "portable" operating systems; built & designed to run from plugged-in external media. It's perfectly possible to "install" Slax to an internal drive, and to multi-boot it on the same machine as other OSs. I've done it myself, so I know it's possible.....but it's far simpler for someone like myself - with well over a decades-worth of 'tinkering' experience - than for someone like yourself. And there's no offence intended when I say this, believe me.
It's also not the kind of thing you can write a nice, easy-to-use point'n'click GUI for. There's often a number of 'hacks' involved that would take far longer to describe than they would to actually perform.....and, frankly, some of the concepts would be hard for noobs to get their heads round. After all, the general idea here on this forum is to help people to help themselves.....and that often involves distilling many operations down to the simplest concepts possible. Not everybody is technically-minded, although the majority of Linux users tend to come from the higher intelligence percentiles in society. And everybody has the right to at least decide for themselves whether they could live with Linux full-time.
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Anyways. Now; with regard to a suitable Nvidia driver for the GeForce 7100. This is where things are not right, somehow. Either you're not giving us the correct information - and you have no reason to lie - OR you're the unfortunate owner of one of the biggest mysteries I've yet come across.
According to every online article I've found, the GeForce 7100 did exist.....but it was always sold as a PCIe card, the GeForce 7100 GS. One of these:-
NVIDIA NV44B, 350 MHz, 4 Pixel Shaders, 3 Vertex Shaders, 4 TMUs, 2 ROPs, 128 MB DDR2, 266 MHz, 64 bit
www.techpowerup.com
Yet according to you, your PCIe slots are empty, and there's nothing in them...
Moving on to that series equivalent notebook (or 'mobile' versions) - the GeForce Go 7 series:-
.....we can clearly see that these started at the GeForce 7000M, and the very next model up was the GeForce 7150M. There is no mention of a GeForce 7100M.
Weird. But, this is not the end. The mystery deepens further.....
Some deep digging led me to this 20-yr old TechPowerUp! blog post from 2005. In this, Nvidia had apparently just announced details of an upcoming GeForce 7xxx-series of mGPUs.....including the GeForce 7100 mGPU.
It rather looks like this is what you probably have. But nowhere can I find any further mention of these boards with these integrated mGPUs. And I suspect you won't.....because almost certainly this comes under the heading of "made-under-licence", where the original manufacturer - in this case, Nvidia - disavows all knowledge of the items in question.....and pushes responsibility for the item onto whoever it was built FOR (in this case, HP).
And with this machine being the best part of 20 years old, you can be sure that HP have long since removed any details of the hardware from their database. Their typical 'cut-off' point is around the 10-11 yr mark.
In the fast-moving tech world, 20 years puts you at prehistoric, dinosaur-level.....
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One thing you can say about Nvidia is they are at least consistent. Regardless of the product packaging & type, any given GPU model will be supported by the same drivers, irrespective of the way it's built & connected to the system!
So; trawling through Nvidia's dusty driver archives reveals the very last Linux driver to support the Curie-based, NV44B "7100" chip:-
Download the <dd~LanguageName> <dd~Name> for <dd~OSName> systems. Released <dd~ReleaseDateTime>
www.nvidia.com
However, due to its age, I'm extremely doubtful that any currently-supported, up-to-date OS would even allow this to install.....much less to actually run.
That, in a nutshell, is what I see as the current position with regard to this Nvidia GPU of yours.
Mike.