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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.3 The Slope and the Tangent Line, #42 · Calculus · Derivatives

(Puzzle) The equation … requires two numbers, the point-slope form … requires…

(Puzzle) The equation $y = m x + b$ requires two numbers, the point-slope form $y - f (a) = f^{'} (a) (x - a)$ requires three, and the two-point form requires four: $a, f (a), c, f (c)$ . How can this be?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.3 The Slope and the Tangent Line, #42

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