How to draw a line on a logical matrix in a given scale?

I want to transform two vectors (x, y) that describe a straight line into a logical matrix, but on a certain scale.

For example:

x = linspace (2e-2,6e-2,20);
y = 4e-2 * ones (1,20);
a = [x' y'];
plot (x,y);
axis([1e-2 7e-2 1e-2 7e-2])

I want to get a logical matrix (100*100), that has this scale.

[Adam Danz]

What does it mean to convert a straight line into a logical matrix?

It sounds like meshgrid() may come in handy but it's unclear to me what your goal is.

[Osama Tabbakh]

I would like to have the plotted geometry in x,y coordinate as an image. In that case I want to have a line in a logical matrix such that this line corresponds to the plotted geometry in x, y coordinate.