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Find an equation of the secant line containing (2, f(2)) and (5, f(5)).

A. f(x) = 3x - 4
B. f(x) = 2x + 3
C. f(x) = 5x - 7
D. f(x) = 7x - 5

1 Answer

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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.

User Vivek V Dwivedi
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