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What you are doing is using the long-form differentiation method to evaluate the derivative of f(x) when x=4.
Long story short: the derivative of a function gives you the slope at point (x,y) [plug x into the derivative f ' (x)] and plug x into f(x) to get "y".
the point-slop form y=mx+b is useful, however, also consider: y-y1 = m(x-x1) + b in the future.
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