to calculate the area of any straight line graph or part of a graph, you need to select two points.
for example (x1,y1) and (x2,y2).
once you have selected the points you put then into the equation
m=delta y/delta x (change in y divided by the change in x)
which is easier as
m=(y2-y1)/(x2-x1)
and m = the gradient
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It is the gradient (slope) of the line.
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.
A velocity time graph is still a velocity time graph - no matter the degree of detail that you look at it.
The gradient of the graph.
The graph of velocity-time is the acceleration.