Post a New Question

Algebra

posted by .

What similarities and differences are there between functions and linear equations? Are all linear equations functions? Is there an instance when a linear equation is not a function?

  • Algebra -

    A function is a rule that explains how one variable can be computed from one or more other variables. A linear equation of the form y = mx + b is a function.

    If you have an equation without ONLY one variable on one side, it is technically not a function, in my opinion.

    b = mx - y and m = y/x are not explicit functions as written, if m and b are constants, but can be rewritten as linear functions. Those might be called implicit functions.

    I think one get lost in semantics with questions like this. I wonder whether it really helps in teaching math.

  • Algebra -

    With a function, for every X there is only one Y. With linear equations, for every X, there can be more than one Y.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

More Related Questions

Post a New Question