The relationship between reaction rate constant and half-life is fundamental to understanding chemical kinetics and predicting reaction behaviour. Although expressions describing half-life for zero-, first-, and second-order reactions are well established, comparative visualization across different reaction orders is seldom presented. This study provides a mathematical comparison of half-life as a function of reaction rate constant and the corresponding inverse relationship for zero-, first-, and second-order reactions. Calculations were performed using standard integrated rate equations assuming identical initial reactant concentration of 1 M. The resulting plots demonstrate that half-life decreases nonlinearly with increasing rate constant for all reaction orders. At any given rate constant, second-order reactions exhibit the longest half-life, followed by first-order and zero-order reactions. Conversely, the rate constant decreases with increasing half-life, producing inverse relationships characteristic of each kinetic order. The results emphasize the distinct kinetic behaviour associated with reaction order and provide a useful graphical framework for interpreting experimental kinetic data. These findings may serve as references for professionals involved in reaction kinetics.