Choice A is the correct answer. Isolate $y$ and watch the sign.

1. Subtract 2x: $-3y > -2x + 6$
2. Divide by -3: $y < \frac{-2}{-3}x + \frac{6}{-3}$ (Reverse sign!)
3. Simplify: $y < \frac{2}{3}x - 2$

?�� Strategic Tip: Dividing by negative coefficient of $y$ flips the inequality.

Choice B is incorrect because it fails to reverse the sign. Choice C is incorrect because it has the wrong y-intercept sign. Choice D is incorrect because it fails to reverse sign and has wrong intercept.