If time is the x-axis as expected then the x-intercept would be zero movement of the velocity.
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A velocity time graph is still a velocity time graph - no matter the degree of detail that you look at it.
The distance travelled over the time period represented by the area under the v-t graph between the end points.
the physical quantity is distance and unit is meters
The graph of velocity-time is the acceleration.
Simply put, a velocity time graph is velocity (m/s) in the Y coordinate and time (s) in the X and a position time graph is distance (m) in the Y coordinate and time (s) in the X if you where to find the slope of a tangent on a distance time graph, it would give you the velocity whereas the slope on a velocity time graph would give you the acceleration.