Set 11: Linear Functions (Intermediate)

Explanation

Answer: A

Which equation represents a line parallel to $x = 5$ passing through $(2, 3)$ ?

$x = 2$

✓ Correct

$y = 3$

$x = 5$

$y = 2$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Parallel to vertical is vertical. 1. Original: $x = 5$ is vertical. 2. New: Must be vertical ( $x = k$ ). 3. Point: x-coordinate is 2. 4. Equation: $x = 2$ . Strategic Tip: Match the variable for parallel lines ( $x o x$ , $y o y$ ). Choice B is incorrect because horizontal. Choice C is incorrect because wrong location. Choice D is incorrect because horizontal.

Key Steps:

•

The correct answer is $x = 2$

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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