Yes, "Answer 1" is clearly wrong because it is not linear and so not the equation of any plan.
Now, "Answer 2" is a plane- it is linear parametric equations with two parameters.
The simplest answer is that when x= 2 and y= 3, z= 8- 9= -1. But there are no values of and that make . It should be easy to see that and that means that the given plane does NOT include that point.