It may have become popular from 1975 onward due to this song.
Song: My Way or Hit the Highway
Artist: Jill 'Baby' Love
Label: Black Magic – BM 116
Format: Vinyl, 7", 45 RPM, Single
Youtube Video > My Way or Hit the Highway, by Jill 'Baby' Love > https://www.youtube.com/watch?v=shedRHSLNNM
Youtube Video > My Way, by Limp Bizkit, uses this same phrase and this song was released in 2000 _* Note* Song has vastly different lyrics than the one above > https://www.youtube.com/watch?v=Dn8vzTsnPps