9

Set 17: Linear Functions (Advanced)

Explanation

Answer: A

Find the slope of the line passing through (5,8)(5, 8) and (5,−2)(5, -2).

A.

Undefined

✓ Correct
B.

00

C.

11

D.

−1-1

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Check for vertical alignment. 1. Formula: m=−2−85−5=−100m = \frac{-2 - 8}{5 - 5} = \frac{-10}{0}. 2. Result: Division by zero is undefined. 3. Visual: The x-coordinates are the same, so it's a vertical line. Strategic Tip: If x1=x2x_1 = x_2, the slope is undefined. Choice B is incorrect because 0 slope is for horizontal lines. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is Undefined

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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