You can have a look at this discussion: Gaussian Mixture of regression However, I think in your case you dont have enough information (i.e., data point) to identify the two slopes, you might need pretty strong prior to make this work.
You can have a look at this discussion: Gaussian Mixture of regression However, I think in your case you dont have enough information (i.e., data point) to identify the two slopes, you might need pretty strong prior to make this work.