Translation of "Slurred" in French

Her slurred speech was an indication that she was drunk.

Son langage inarticulé trahissait qu'elle était saoule.

Tom insisted he hadn't been drinking, but his slurred speech and unsteady gait gave him away.

Tom a insisté qu'il n'avait pas bu, mais son élocution et sa démarche instable le trahissait.