The Eadie-Hofstee plot is different from Lineweaver-Burk because:
It plots V0 against V0/[S] correctly identifies the graphical representation, mathematical relationship, or plot parameter described in this question. In Enzyme Kinetics, graphical analysis transforms complex kinetic or biological data into linear relationships that allow precise determination of key parameters. The specific feature described by It plots V0 against V0/[S] is derived from the mathematical transformation of the underlying equation and has a defined physical meaning. The other options (It plots 1/V0 against 1/[S], It plots Km against [S], and It only applies to irreversible enzyme reactions) represent different parameters, intercepts, or slopes from either the same or different analytical methods.
Ref: Lehninger Principles of Biochemistry, Nelson & Cox, 8th Ed., Ch. 6