Final answer:
To find the equation of the secant line containing the points (2, f(2)) and (5, f(5)), we can use the formula for the slope of a line and calculate the slope. The equation of the secant line is y - f(2) = slope * (x - 2).
Step-by-step explanation:
To find the equation of the secant line containing the points (2, f(2)) and (5, f(5)), we can use the formula for the slope of a line:
Slope = (change in y-coordinates) / (change in x-coordinates)
The coordinates for the two points are (2, f(2)) and (5, f(5)), where f(x) is some unknown function.
Let's calculate the slope:
Slope = (f(5) - f(2)) / (5 - 2)
The equation of the secant line with this slope and passing through the point (2, f(2)) is y - f(2) = slope * (x - 2).
Therefore, the correct answer is A. f(x) = 3x - 4.