New Defender's Study Bible Notes
9 transgresseth. This means, “goes beyond,” trying to put esoteric extrapolations of a pseudo-spiritual nature on the plain teachings of Christ and His Word.
9 doctrine. The “doctrine” of Christ (which word actually is “teachings” in the Greek) must include all the teachings of Christ, everything He said and did, covering all the Scripture and all His purposes.
10 your house. The “house” is the church, probably then meeting in a house. No false teacher is to be allowed to teach in the church.
10 God speed. “God speed” (Greek chairo) means essentially “good cheer!” It is any expression of fellowship and good will, and should not be used to encourage a false teacher.