The absorption of fluorine into flint dates exposure of the surface and dates the time the rock was cracked. The linear equation will compare the dates of exposure until today's date. There are other uses but that is one.
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Quality does not normally play any part in linear equations.
Equations are not linear when they are quadratic equations which are graphed in the form of a parabola
They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.
Linear equations are a small minority of functions.
Most functions are not like linear equations.