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Intel HD Graphics is what they gave us on our school laptops just so that we don't play games on them. That just shows you how bad they are. I did have a try though and even with Optifine I was getting 10FPS maxI sincerely hope no one is using 11th century graphics technology to run Minecraft. That's the latest version? I knew using Intel graphics was a bad idea but I didn't realise they were that bad!
[edit] You are talking about the graphics driver version, right?