5

Set 9: Linear Functions (Advanced)

Explanation

Answer: A

A line passes through (2,k)(2, k) and (5,10)(5, 10). If the slope is 2, what is kk?

A.

44

✓ Correct
B.

66

C.

1616

D.

88

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Use slope formula. 1. Substitute: 2=10k522= \frac{10 - k}{5 - 2}. 2. Simplify: 2=10k32= \frac{10 - k}{3}. 3. Solve: 6=10kk=46= 10 - k \rightarrow k = 4. Strategic Tip: You can also work backwards: If slope is 2, going back 3 steps in x (5 to 2) means going back 6 steps in y (10 to 4). Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

The correct answer is 44

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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