Set 11: Linear Functions (Advanced)

Explanation

Answer: A

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

$2$

✓ Correct

$3$

$6$

$\frac{1}{2}$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Translate function notation to points. 1. Points: $(2, 3)$ and $(5, 9)$ . 2. Formula: $m = \frac{9 - 3}{5 - 2}$ . 3. Calculate: $m = \frac{6}{3} = 2$ . Strategic Tip: $f(x) = y$ means the input is $x$ and the output is $y$ . 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.

Key Steps:

•

The correct answer is $2$

Why others are wrong:

B: Choice B is incorrect and may result from a calculation error.

C: Choice C is incorrect and may result from a calculation error.

D: Choice D is incorrect and may result from a calculation error.

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