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Set 12: Linear Functions (Advanced)

Explanation

Answer: A

Write the equation of the line passing through the origin with slope 4.

A.

y=4xy = 4x

✓ Correct
B.

y=x+4y = x + 4

C.

y=4y = 4

D.

x=4x = 4

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Origin intercept. 1. Intercept: Origin b=0\rightarrow b = 0. 2. Slope: m=4m = 4. 3. Equation: y=4xy = 4 x. Strategic Tip: Direct variation. Choice B is incorrect because intercept is 4. Choice C is incorrect because slope is 0. Choice D is incorrect because vertical.

Key Steps:

The correct answer is y=4xy = 4x

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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