Set 17: Linear Functions (Intermediate)

Explanation

Answer: A

A line has a slope of 0 and passes through $(2, 5)$ . What is its equation?

$y = 5$

✓ Correct

$x = 2$

$y = 2$

$x = 5$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Slope 0 means horizontal. 1. Horizontal: Equation is $y = k$ . 2. Point: The y-coordinate is 5. 3. Equation: $y = 5$ . Strategic Tip: Match the variable to the coordinate value. Horizontal $\rightarrow y$ . Vertical $\rightarrow x$ . Choice B is incorrect because it is vertical. Choice C is incorrect because it uses the x-coordinate. Choice D is incorrect because it mixes variables.

Key Steps:

•

The correct answer is $y = 5$

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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