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What is the rate of change of a linear function?
It will just be the gradient of the function, which should be constant in a linear function.
How do you find the average rate of change for a linear function?
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; orin the form ax + by + c = 0 [the standard form] then the rate is -a/b.
What is the constant rate of change in y with respect to the constant change in x?
A linear relationship.
What is the rate of change of a horizontal line?
The rate of change of any function is its derivative. The equation of a horizontal line is simply a constant, for example y=10. The derivative of any constant is ZERO.
How does the constant rate of change show up in the table?
You have already assumed the information in the table is linear in nature. Given that information, the constant rate of change is the ratio of the amount of change in the dependent variable compared to the amount of change of the independent variable. Put a simpler way, it is change in y divided by change in x.
