6

Set 9: Linear Functions (Intermediate)

Explanation

Answer: A

Which graph represents a line with a slope of 0 and a y-intercept of -2?

A.

Horizontal line at y = -2

✓ Correct
B.

Vertical line at x = -2

C.

Line passing through origin with slope -2

D.

Horizontal line at y = 2

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Slope 0 means horizontal. 1. Slope 0: Horizontal line. 2. Intercept -2: Passes through (0,2)(0, -2). 3. Result: Horizontal line at y=2y = -2. Strategic Tip: A zero-slope line is flat like the horizon. Choice B is incorrect because it has undefined slope. Choice C is incorrect because it has slope -2. Choice D is incorrect because it is at the wrong height.

Key Steps:

The correct answer is Horizontal line at y = -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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