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a positive slope is up and to the right
The slope for a straight line graph is the ratio of the amount by which the graph goes up (the rise) for every unit that it goes to the right (the run). If the graph goes down, the slope is negative. For a curved graph, the gradient at any point is the slope of the tangent to the graph at that point.
The slope of a distance-time graph represents speed.
the slope.
The slope of the speed-vs-time graph is the magnitude of acceleration.