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Rearrange for y, let f(x) = y, and find the derivative of f(x) with respect to x: 5x + 3y = -2 y = -(5x+2)/3 = f(x) df/dx = -5/3
5x - y + 3 = 0can be rewritten as y = 5x + 3 and so the slope is the coefficient of x which is 5.
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-5x=3+y x=-1/5y-3/5
The rate of change for the linear (not liner) function, y = 2x +/- 3 is 2.