Final answer:
The swing style is identified with the beautiful ballads played by saxophonist Johnny Hodges.
Step-by-step explanation:
The style identified with the beautiful ballads played by saxophonist Johnny Hodges is the swing style. Swing music emerged in the 1930s and 1940s in the United States. It is characterized by a strong rhythm section, including drums, bass, and piano, as well as a melodic front line comprised of saxophones and trumpets.
In swing jazz, the instrument saxophone is often used as a lead instrument and is known for its smooth and lyrical sound. Johnny Hodges, who was a prominent member of the Duke Ellington Orchestra, was particularly known for his ability to play beautiful ballads on the saxophone, showcasing his talent for melodic improvisation and emotional expression.