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A linear function has a constant rate of change - so the average rate of change is the same as the rate of change.

Take any two points, A = (p,q) and B = (r, s) which satisfy the function. Then the rate of change is

(q - s)/(p - r).


If the linear equation is given:

  • in the form y = mx + c then the rate of change is m; or
  • in the form ax + by + c = 0 [the standard form] then the rate is -a/b.
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