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Q.
For a reaction $X \rightarrow Y$, the graph of the product concentration $(x)$ versus time $(t)$ came out to be a straight line passing through the origin. Hence the graph of $\frac{-d\left[X\right]}{dt}$ and time would be
Thus graph would be a straight line passing through origin. So the given information is for zero order reaction. For a zero order reaction, rate of the reaction is constant. Thus, plot of rate vs time, i.e., $-\frac{d\left[X\right]}{dt}$ vs time will be a straight line parallel to x-axis.