Set 4: Linear Functions (Advanced)

Explanation

Answer: A

Which line is parallel to $3x + 4y = 12$ ?

$3x + 4y = 7$

✓ Correct

$4x - 3y = 12$

$3x - 4y = 12$

$4x + 3y = 12$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Same coefficients. 1. Original: $3x + 4 y = 12$ (Slope $-3/4$ ). 2. Option A: $3x + 4 y = 7$ (Slope $-3/4$ ). 3. Result: Parallel. Strategic Tip: In Standard Form, keep $Ax+By$ the same to get a parallel line. Choice B is incorrect because perpendicular. Choice C is incorrect because different slope. Choice D is incorrect because different slope.

Key Steps:

•

The correct answer is $3x + 4y = 7$

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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