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How do you find the average rate of change for a linear function?
Wiki User
∙ 6y ago
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.
Wiki User
∙ 7y ago
MANINOA THOMPSON
Wiki User
∙ 7y agoFor a linear function, the rate of change is the same everywhere, so - assuming the function involves variables "x" and "y" - you can simply divide (change of y) divided by (change of x), for any two points on the graph (or for any two sets of (x, y) values for the function).
Wiki User
∙ 6y agoThe average rate of change of a linear function is its slope.
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