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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, #28 · Calculus · Derivatives

Why are these statements wrong

Why are these statements wrong? Make them right.
(a) If $y = 2 x$ is the tangent line at $(1, 2)$ then $y = - \frac{1}{2} x$ is the normal line.
(b) As $c$ approaches $a$ , the secant slope $(f (c) - f (a)) / (c - a)$ approaches $(f (a) - f (a)) / (a - a)$ .
(c) The line through $(2, 3)$ with slope 4 is $y - 2 = 4 (x - 3)$ .

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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, #28

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