For a reaction $X \longrightarrow Y$, the graph of the product concentration $(x)$ versus time $(t)$ came…
For a reaction $X \longrightarrow Y$, 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 $\frac{-d[X]}{d t}$ and time would be
straight line with a negative slope and an intercept on $y$-axis
straight line with a positive slope and an intercept on $y$-axis
a straight line parallel to $x$-axis
a hyperbola.
Solution
If product concentration is $x$.
For a zero order reaction $\frac{x}{t}=k$
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 $v s$ time, i.e., $-\frac{d[X]}{d t} v s$ time will be a straight line parallel to $x$-axis.