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Rate of change = amount of change in some period of time/amount of time for the change
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The answer depends on what information you are given - and in what form. If the equation of the curve is given in polar coordinates or in parametric form, the process is quite different to that required when given the Cartesian equation.
The rate of change of a function is found by taking the derivative of the function. The equation for the derivative gives the rate of change at any point. This method is used frequently in calculus.
y=mx +b is the equation for slope intercept form. y = the output of the equation m = the slope x = the input into the formula b = the y-intercept The slope represents the rate of change. This is because for every input, or x, you put into the equation, is changed by m. So the M portion of this equation would be the rate of change.