Oh....So I performance to risk ratio is bad.
If you get a new card, it's not worth it. You end up spending too much on a GPU that will be bottle necked. An older nvidia or AMD card would cost less, so it's less riskier.
You really wouldn't be getting the most out of a 970, although you could try something a step below like a 960. The processor would be a performance cap for the card, and I'm pretty sure of that. The mPcie bus really isn't that fast. I mean its meant for WiFi cards, not full size expansion cards.
That's all based on the presumption that it works great and doesn't have colossal problems.
Colossal Problems? Like?
An older nvidia like a 960 as caveman explained?
Buy a used older model. So in case it doesn't work you didn't spend like 200$. Read what @Fouquin said earlier.
So an mpcie slot would be the place where the network adapter is? The wireless adapter?
Well the adapter not working/being faulty (which isn't uncommon with basically all Pcie extensions/converters), performance just not being good, and driver issues that could occur with an original I7 and a new gpu that wasn't made with the intentions of being ran on hardware that old.
Yes the mPcie is usually for WiFi or Bluetooth, and I believe its wifi in your case.
That's a minor fallacy. As long as the PCI-E bandwidth is available the rest of the system doesn't matter. I'm running an R9 Nano on a PCI-E v1.1 slot on a workstation board from 2006 without any issues. If Windows recognizes the card, and the card has power/bandwidth to work with it will work.
So the network adapter is under the laptop a small square piece and to access it I just have to unscrew two screws. But I couldn't damage the laptop with an mpcie graphics card?
This image shows the location of both mPCI-E slots in your laptop. Keep in mind that not all versions of your machine will have these. Since you appear to have the highest performing and most feature built version it would be safe to assume that both slots are in place, but it is still only an assumption not a guarantee.
Well I have found only one. There could be a second one and I could check for it.
Then it appears in your case you would sacrifice wireless for graphics.
Not a functional trade-off honestly. I mean you can add a USB wifi adapter to your ever growing list of expenses if you wish to pursue this project, or I guess you can decide how much you need wireless over the ability to play a few modern games.
There is an expansion slot. Reserved for a TV Tuner card. Will that work?
Well I have an ethernet connection too. So no trade off.
This thread my sandibridge laptop saw a increase in performance from upgrading to windows 10
Probably windows 7 support for intel hd graphics was bad.