Borderlands 2: Mechromancer GPU Analysis
Comparing Borderlands 2: Mechromancer PC system requirements to all GPUs shows that Borderlands 2: Mechromancer is going to need a graphics card that is capable of OpenGL 3.2.

To get the best visual graphical experience on Borderlands 2: Mechromancer, aim to have a GPU that has at least 1GB GPU RAM.

Medium level graphics cards currently available today, will probably allow you to play Borderlands 2: Mechromancer

We are advised that 13 year old graphics cards should be able to run Borderlands 2: Mechromancer, but there could be a few exceptions to this rule.

Note that most games do not officially support laptop graphics cards, but nowadays many laptop graphics solutions are capable of running modern games. Whether desktop graphics cards or laptop, try searching for your graphics card to compare against the Borderlands 2: Mechromancer graphics card requirements chart below.