Try to draw a line with a pencil on some graphing paper. Then fill in all those boxes which the pencil crossed. If you hold the paper at a distance, you can see something like a crooked line formed by the filled-in squares. That would be a low-resolution line made up of boxes(“pixels”).
If the squares were tiny enough (i.e. there were enough pixels) then the crooked line would look smooth enough.
Even better if you shade the boxes differently, shading each box darker if more of the pencil crossed it. This technique is called anti-aliasing and it makes the line look smoother because the varying shading approximates how the line would look like if each piece of “line” per pixel was averaged out with the background in that pixel.
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