2
algebra

If f(2)=3f(2) = 3 and f(5)=9f(5) = 9, what is the slope of the linear function f(x)f(x)?

A

22

B

33

C

66

D

12\frac{1}{2}

Correct Answer: A

Choice A is the correct answer. Translate function notation to points.

  1. Points: (2,3)(2, 3) and (5,9)(5, 9).
  2. Formula: m=9352m = \frac{9 - 3}{5 - 2}.
  3. Calculate: m=63=2m = \frac{6}{3} = 2.

💡 Strategic Tip:f(x)=yf(x) = y means the input is xx and the output is yy.

Choice B is incorrect because it is the run. Choice C is incorrect because it is the rise. Choice D is incorrect because it flips rise and run.