# What distributions are for the slope and for the intercept in linear regression?

In linear regression from a dataset $\{ (x_i, y_i), i=1,\cdots,N \}$, I wonder what distributions are for the slope and for the intercept?

In Excel output, t-tests are used to tell whether the slope mean is zero and the intercept mean is zero. But t-test assumes the distributions of slope and of intercept are normal distributions. So I would like to see whether this is true.