Draw affine lines over the field with three elements and watch what an element of Aff₂(𝔽₃) does to them.
Click two points to draw the straight line through them. It stands for the line of 𝔽₃² through their residues, so one line of 𝔽₃² can be drawn in several ways; every line is shown together with its translates by multiples of 3. Click a line to select it; Delete removes it, Esc deselects. In the lattice view, points are colored by their image in 𝔽₃². Enter a matrix A and vector b and apply g(v) = Av + b to every drawn line; the line’s two defining points are moved by g.