Set 10: Linear Functions (Intermediate)

Explanation

Answer: A

Which line is parallel to $2x - y = 4$ ?

$y = 2x + 1$

✓ Correct

$y = -2x + 1$

$y = \frac{1}{2}x + 1$

$y = -\frac{1}{2}x + 1$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Find slope first. 1. Convert: $-y = -2 x + 4 \rightarrow y = 2 x - 4$ . 2. Slope: $m = 2$ . 3. Check Options: Option A has slope 2. Strategic Tip: In standard form $Ax+By=C$ , parallel lines have the same $A$ and $B$ (or proportional). Choice B is incorrect because slope -2. Choice C is incorrect because slope 1/2. Choice D is incorrect because slope -1/2.

Key Steps:

•

The correct answer is $y = 2x + 1$

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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