Calculus

How to solve

The slope of the secant through (a, f(a)) and (b, f(b)) is the average rate of change [f(b) − f(a)] / (b − a).

Steps

  1. Read the coordinates of A and B.
  2. Compute rise: f(b) − f(a).
  3. Divide by run: b − a.

Example

A = (−1, 1), B = (2, 4) on y = x².

  1. Rise = 4 − 1 = 3.
  2. Run = 2 − (−1) = 3.
  3. Slope = 1.

Answer: 1

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