SOLUTION: Are all linear equation functions? Is there an instance when a linear equation is not a function? Can you give an example of and nonlinear equation?

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> SOLUTION: Are all linear equation functions? Is there an instance when a linear equation is not a function? Can you give an example of and nonlinear equation?      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   


Question 134930: Are all linear equation functions?
Is there an instance when a linear equation is not a function?
Can you give an example of and nonlinear equation?

Answer by vleith(2517) About Me  (Show Source):
You can put this solution on YOUR website!
Use the "vertical line" rule to help decide if an expression is a function. If a vertical line intersects the graph of an expression in more than one point, then that expression is NOT a function.
Now to your questions ;
Are all linear equation functions? No.
Is there an instance when a linear equation is not a function? Yes, a vertical line is linear, but fails the vertical line test.
Can you give an example of and nonlinear equation? A parabola is an example of a non linear equation y = x^2