Q: How can you tell whether an equation is linear or nonlinear?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

To be linear, there should only be constants, and variables with constant coefficients. No powers of variables, or numbers raised to the power of a variable, or any other nonlinear function such as log, ln, sin, cos, tan, cosh, etc.

A linear function would be represented by a straight line graph, so if it's not a straight line, it's nonlinear

You can easily tell by substituting 0 for a.

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.

If the two equations are linear transformations of one another they have the same solution.

Related questions

To be linear, there should only be constants, and variables with constant coefficients. No powers of variables, or numbers raised to the power of a variable, or any other nonlinear function such as log, ln, sin, cos, tan, cosh, etc.

A linear function would be represented by a straight line graph, so if it's not a straight line, it's nonlinear

You can easily tell by substituting 0 for a.

A linear equation always has a degree of one because the slope has to be constant to form a line. So, x + 7 is linear, 7 - x is linear, 4x - 3.7 is linear, but anything with x2 , etc. is not linear.

Difficult to tell because of problems with the browser. 4x = 2x IS a linear equation whose solution is x = 0

Substitute the values for the two variables in the second equation. If the resulting equation is true then the point satisfies the second equation and if not, it does not.

If it is in a y=mx+b format. Also, if there is a slope and a constant in the equation.

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.

If the two equations are linear transformations of one another they have the same solution.

An equation (note spelling) is linear if it is made up exclusively of constants and of unknowns raised to the first power (e.g., 'z', as opposed to 'z^2')

You can be certain if the equation is linear, that is, of the form ax + b = 0 where a and b are constants.

The word linear means in a straight line. If the graph is a line, it is linear. Also, linear equations are of the first order; they contain a variable but not a square (or higher power) of a variable. If the equation contains x2 it is not linear.