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Question 140709: What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance when a linear equation is not a function?
The only similarities that I can find is that linear equations and functions have a x axis and an y axis. I have also found that not all linear equations are functions. I can not find anything about differences or an instance when a linear equation is not a function.
Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website! A function, y=f(x), is a relationship between an independent variable (example:x) and a dependent variable(example:y) where the function gives a unique value for each x.
Lines (or linear equations or functions) are a subset of general functions.
Are all linear equations functions? Yes.
Is there an instance when a linear equation is not a function? No.
There is an instance where a line is not a function (a verical line, example:x=4).
In that case you have infinitely many y values for one x value.
But in that case there really is not a function of the form y=... so it's a very clear distinction.
All other linear equations have the form y=mx+b and give a unique y for each x value.
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