First, isolate y: 2x - 3y = 6 -3y = -2x + 6 3y = 2x - 6 y = 2/3x - 2 That means that the line passes through the point (0, -2) and has a positive slope of 2/3. So it would be choice A because the line in choice A passes through the point (1, -2) and has a positive slope. Choice D also passes through the point (0, -2) but has a negative slope so it cannot be the correct answer. Choice A is correct.
