It depends on what x and t are but, in general, yes.
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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.
It would have a downhill slope from left to right
That will depend on what equations but in general if it has a slope of -3 then it will have a down hill slope
If the pressure is increasing then the slope is positive. If the pressure is decreasing then the slope is negative.
It does not change.