Exactly.
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The slope of the speed-vs-time graph is the magnitude of acceleration.
A straight slanted slope on a velocity-time graph indicates that the object is moving with a constant acceleration.
The slope of the speed/time graph is the magnitude of acceleration. (It's very difficult to draw a graph of velocity, unless the direction is constant.)
The graph is a straight line whose slope is the acceleration of gravity.
Since distance is 1/2 at^2 where a is acceleration, it represents one half of the acceleration