Time is plotted on the HORIZONTAL axis. That may or may not be the x-axis. If I choose to call the distance X, then X will be plotted on the vertical axis!
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Typically distance is plotted on the y-axis of a distance-time graph.
Distance time graph shows the distance an object has traveled with respect to time. Time is plotted on the horizontal axis and distance is plotted on the vertical axis. The slope of the graph at any particular point in time will be equal to the instantaneous velocity at that point in time.
Graphically, your graph is just that; distance versus time. In general, it gives a position of x at a certain time of t. It should be noted that the slope of the graph at time t is the velocity of the graph at that time t.
It could be a velocity graph or an acceleration graph. If the plot is a straight line it is constant velocity. If the plot is a curve it is acceleration.
It is a velocity-time graph in which time is plotted along the horizontal axis and the velocity of an object in a selected direction is plotted along the vertical axis.