the expansion is strain e times length L or y = eL
if strain is temperature related then e = CTE x temperature T where CTE is linear thermal expansion coefficient or y = CTE x L x T
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Linear expansivity is the increase in length per unit length per degree rise in temperature. While cubic expansivity is the increase in volume per unit in volume per degree rise in temperature.
2*linear expansitivity
By definition, if you graph the relationship between two variables and the result is a straight line (of whatever slope) that is a linear relationship. If it is a curve, rather than a straight line, then it is not linear.
The relationship is a linear one. For example when driving at a constant speed, the relationship between distance driven and the time driven is linear with a constant ratio (of the constant speed).
The slope of a line is the same thing as the rate of change between two variables in a linear relationship.