I'm curious, if some people just think in words, how do they solve visual problems in their head?

For example, can you solve this problem in your head just closing your eyes and thinking about it? (no using your hands either)

* There is a 2D grid in front of you with coordinate system (x,y)

* X increases to the right, Y increases going up

* Point A is at coordinates (1, 1)

* Point B is at coordinates (2, 0)

Q: If we were to move from point B to A, what direction or combination of directions would you be moving? (possible directions are up, down, left, right)

I can solve this in my head but I clearly visualize a grid and the positions of points while doing so and once I have it visualized I just see the answer.

If someone solves this without visualizing it, what are they thinking or how do they do it?