Set 6: Linear Functions (Advanced)

Explanation

Answer: A

Which line passes through the origin?

$2x - 3y = 0$

✓ Correct

$2x - 3y = 6$

$x = 2$

$y = 3$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Test $(0, 0)$ . 1. Substitute: $2(0) - 3(0) = 0$ . 2. Result: $0= 0$ (True). Strategic Tip: In Standard Form $Ax+By=C$ , if $C=0$ , the line passes through the origin. Choice B is incorrect because $0\neq 6$ . Choice C is incorrect because $0\neq 2$ . Choice D is incorrect because $0\neq 3$ .

Key Steps:

•

The correct answer is $2x - 3y = 0$

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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