Let's assume (for simplicity) that "y" is a function of "x". That means that for every value of "x", there is a unique value of "y". In this case, if the equation can be solved for "y", it is a function. Some equations are difficult or impossible to solve explicitly for "y"; in this case, "y" may still be a function of "x", if for every value of "x" only a single value of "y" is possible for the equation. However, if this is the case, it may be difficult to verify.
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An equation is a statement that two things are equal. A function is a rule or process that gives you a value if you give it something in its domain (the set of things on which it is defined) as an argument. Functions on numbers that are defined by a rule can usually be expressed by an equation. A linear function is one that can be defined by a linear equation.
An equation just has an equal sign. A function is basically just an equation without one!
There is one form of linear equation that is not a function, and that is when x = c, where c is a constant.
i may only be 10 yrs old but i can say that an equation is not an function like the graphs of quadratic functions you will only be given an equation
You can easily tell by substituting 0 for a.