Algebra-1

Question Analysis
This question involves assessing the nature of a relationship between two variables using a table of values. The main focus is on determining whether the relationship is linear or non - linear by examining the consistency of changes in y (i.e., ) when x increases by a constant amount (2 units here).

Key Concept Explanation
A linear relationship is defined by a constant rate of change: when x increases by a fixed interval, y must increase or decrease by a constant value. This is because linear functions follow the form , where m (the slope) is constant, so  (for a fixed ,  remains the same).
A non - linear relationship lacks this constant rate of change. When x increases by a fixed interval, the changes in y (

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