Extract data along line from gridded data

Hi all,
I have a gridded datamatrix
ex: var_mat(x1,y1) = var
x1 [ 1000,1] = [ x direction corrdinates]
y1 [100,1] = [y direction coordinates]
I need to extract data along particular line where i know (x,y) corrdinates
The dark line need to be extracted.

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