Prove why the line of linear regression always passes through the coordinate pair (mean of x values, mean of y values).

Linear regression is a technique which consolidates a group of data points into a linear correlation considering the deviation of the points. In this case, we can manipulate the labels of x and y axis to create a linear correlation. The line is always dependent on the mean and the standard deviation so it is expected to pass through the mean,

Sin(a)+cos(a)+cot(a)-1=2(csc(x)+1)