Final answer:
The relation that is NOT linear is 'y = 2x^2' as it represents a quadratic relationship and does not conform to the standard linear form of 'y = mx + b'.
Step-by-step explanation:
When determining the linearity of an equation, one looks for the form y = mx + b, where m and b represent constants, and x is the independent variable.
This is the standard form of a linear equation, which when graphed, produces a straight line. Reviewing the choices provided, we can identify that the option y = 2x2 is not linear because it contains an x raised to the power of 2, which represents a quadratic relationship and when graphed it creates a parabolic curve, not a straight line.
Therefore, the relation y = 2x2 is NOT linear and does not follow the form y = mx + b, displaying a quadratic, rather than linear, relationship between x and y.