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For a straight line,

if A = (x1 , y1) and B = (x2 , y2) are any two points on the line, then the slope is

(y2 - y1)/(x2 - x1) provided x2 is not the same as x1.

More generally, if the equation is y = f(x) then the rate of change in y is dy/dx or f'(x), the derivative of the function f(x).

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Q: How do you find the rate of change--or slope--in a two variable equation?
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