The Walking Dead: Episode 1 GPU Analysis
Comparing The Walking Dead: Episode 1 PC system requirements to all GPUs shows that The Walking Dead: Episode 1 is going to need a graphics card that is capable of OpenGL 2.1.

To get the best visual graphical experience on The Walking Dead: Episode 1, aim to have a GPU that has at least 768MB GPU RAM.

Most bottom end graphics cards currently available today, will probably allow you to play The Walking Dead: Episode 1

We are advised that 13 year old graphics cards should be able to run The Walking Dead: Episode 1, 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 The Walking Dead: Episode 1 graphics card requirements chart below.