3
algebra

Find the x-intercept of the line 3x2y=123x - 2y = 12.

A

44

B

6-6

C

4-4

D

66

Correct Answer: A

Choice A is the correct answer. Set y=0y=0.

  1. Substitute: 3x2(0)=123x=123x - 2(0) = 12 \rightarrow 3x = 12.
  2. Solve: x=4x = 4.

💡 Strategic Tip: In Standard Form Ax+By=CAx+By=C, the x-intercept is C/AC/A.

Choice B is incorrect because it is the y-intercept. Choice C is incorrect because sign error. Choice D is incorrect because calculation error.