How to find the angle of a line with respect to plot window

2 min readMar 30, 2023

This is a little hard to explain. I am not looking for the angle of the line with respect to the cartesian coordinates, I am looking for the angle with respect to the plot window itself.

For context, I am trying to use this angle to produce some text that has the same angle as the line

For Example:

plot([0:10], [0:10]) 
text( 0, 0, "----------------------some text", Rotation = 45)
p = subplot(1,1,1);
disp(p.Position(3:4))

disp(p.Position(3:4))

0.7750    0.8150

See how the text angle doesn’t match the line angle, and the plot itself is not a square

i- I’d imagine some calculations are in order, and it would need the size of the window as an input.

ii- I also thought that ths cannot be that complex, surely there’s a way to write text on the plot at an angle relative to the plot’s coordiates, right?

If anyone has someinsight on (i) or (ii), that would be highly appriociated!

NOTE:-

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Try the PlotBoxAspectRatio property.

plot([0:10], [0:10]) 
ar = get(gca, "PlotBoxAspectRatio")

ar = 1×3
    1.0000    0.7897    0.7897

r = atand(ar(2)/ar(1)) % This will give you the angle of the diagonal of the axes in degrees

r = 38.2985

text( 0, 0, "----------------------some text", Rotation = r)

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