3

Set 11: Linear Functions

Explanation

Answer: A

What is the slope of the line x=5x = 5?

A.

Undefined

✓ Correct
B.

00

C.

55

D.

11

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Vertical lines have an undefined slope. 1. Identify: The equation x=5x = 5 represents a vertical line. 2. Reasoning: Vertical lines have a "run" of 0. Since slope is riserun\frac{\text{rise}}{\text{run}}, dividing by zero is undefined. Strategic Tip: Think of skiing: A horizontal floor has 0 slope (flat). A vertical cliff has undefined slope (you fall). Choice B is incorrect because a slope of 0 belongs to horizontal lines (y=ky=k). Choice C is incorrect because 5 is the x-intercept, not the slope. Choice D is incorrect because a slope of 1 is a diagonal line (y=xy=x).

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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