Algebra-1

Question Analysis
This question involves analyzing the relationship between two variables using a table of values by examining the pattern of changes in y as x increases. The main focus is on determining whether the relationship is linear or non - linear based on the consistency of the differences in y-values (denoted as ).

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 (