DIA may be great for drawing on the prescribed "canvas".
But it refused to draw a simple letter on an imported bmp-graph;-((
lingo
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You cannot draw "on" the graph, but you can certainly have text that lies
atop the image, just as all the other elements an be in front of or behind
each other.
If you really want the text to become part of the image i would suggest
Inkscape as a good program. If you don't know Inkscape yet, it i