The plot image is only showing for standard regression not included random for the intercept in this case. The lme. Coefficient is only one value and it is not calculated over the prediction line.
The 'fitglm' function makes use of the “Iteratively Reweighted Least Squares” method to find the regression coefficients in the maximum likelihood stage of the function.
The MATLAB documentation link of 'fitglm' lists a few reference books which have more information regarding this:
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