9
algebra

Which line passes through the origin?

A

2x3y=02x - 3y = 0

B

2x3y=62x - 3y = 6

C

x=2x = 2

D

y=3y = 3

Correct Answer: A

Choice A is the correct answer. Test (0,0)(0, 0).

  1. Substitute: 2(0)3(0)=02(0) - 3(0) = 0.
  2. Result: 0=00 = 0 (True).

💡 Strategic Tip: In Standard Form Ax+By=CAx+By=C, if C=0C=0, the line passes through the origin.

Choice B is incorrect because0eq60 eq 6. Choice C is incorrect because0eq20 eq 2. Choice D is incorrect because0eq30 eq 3.