Final answer:
The given question appears incomplete, but we can determine that the statement -12 = 3 is always false, and more information is required to evaluate Ariel's statement and the equation's characteristics. The context provided centers on linear equations and their properties.
Step-by-step explanation:
To assess whether Ariel is correct, we would need the specific statement Ariel made, which is not provided in the context. However, we can provide guidance on the other parts of the question. The statement -12 = 3 is always false regardless of the value of y, as it is an equality that compares two constant numbers that are not equal to each other. Moreover, the phrase 'the equation has' is incomplete, so we need additional information to determine what the equation has or is characterized by.
From the provided practice test information, it appears we are dealing with linear equations. All the equations provided in the choices (A through C) and mentioned within the context (like y = 6x + 8) are indeed linear equations. The solutions and verifications discussed suggest a focus on identifying linear equations and understanding their forms, independent and dependent variables, and how to solve for specific terms like the slope or the y-intercept.