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Nothing particularly. All that it means is that your measurement units for the variables are such that a unit change in the horizontal axis is accompanied by a change of a whole number of units for the other variable. A integer gradient for a variable against time, when the latter is measured in seconds will be 1/3600 of that gradient when the time is expressed in hours - quite possibly that will be a non-integer. So what?

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There is no special meaning to the slope of a curve being an integer.

It just means that for an integer change horizontally, the vertical change is also an integer.

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Q: What does it mean when your slope is an integer?
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