In mathematics, a constant rate of change is called a slope. For linear functions, the slope would describe the curve of the function. The world "constant" in this context means the slope and therefore angle of the curve will not change.
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Because the slope measures the rate of change. The word "CONSTANT" means no change so there is no rate of change. Having said that, it will not have a slope of zero if you are plotting displacement against time.
To find the constant rate of change is by taking the final minus initial over the initial.
If the graph is a non-vertical straight line, then the rate of change is constant. If the line is curved, then the rate of change (slope) varies.
constant rate means that rate which is fixed and can not be changed. varying rate is that rate which is not fixed and can be change easily.
The constant rate of change between two points on a line is called slope.