Do Jazz, Rock 'n' Roll and Rock come from the blues?

Of the three, only Rock 'n' Roll comes from the significant left hand blues piano figures Boogie Woogie and Honky Tonk 
Boogie Woogie would only be included in early Rock 'n' Roll and would be omitted by  the early 1960's along with the saxophone Jerry Lee Lewis played a mixture of Boogie Woogie and Honky Tonk in the song "Whole Lotta Shakin' Goin' On" Boogie Woogie Boogie Woogie Honky Tonk Honky Tonk