I'm using Latex to write sketching questions. Although it works well for me, and it is quite easy, there are a couple of things I want to do and couldn't:

1 - having the axes with different lenghts: the sketch area is always shown as a square, even when the axes have different lengths. I want to have a longer x axis, keeping the units proportional in both axes.

2 - having an image in the background of the skecth area.