It's the slope of the line, or your a or m depending on how your teachers teach it.
y = mx + b
where m = slope and b = y-intercept(or initial value)
or y = mx + b
where m = slope
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The change in y over the change in x
The rate of changing the interval of 25 is 19.5. This is a math problem.
A rate of change in a variable Y, if not further qualified, is the change in Y for a unit change in time. However, the rate of change may be defined in terms of a unit change in some other variable (X). In graphical terms, the rate of change for a straight line is its gradient whereas for a curve, the rate of change at a point is the gradient of the tangent to the curve (if a tangent can be defined).
The rate, or rate of change is like an average all except it has to do with the slope of a line instead of a group of numbers. Finding the rate of change is like finding an average except you use the points on the graph instead of numbers in a group.
It means the same rate. Its going/moving at a constant rate.