Linear or Non-Linear Equations

Front

What is a linear equation?

Back

Front

What is a non-linear equation?

Back

A non-linear equation is an equation that does not form a straight line when graphed. It can include exponents, square roots, or other non-linear terms.

Front

Identify a characteristic of non-linear equations.

Back

Front

What is the general form of a linear equation in two variables?

Back

Front

How can you determine if an equation is linear or non-linear?

Back

Check for the highest power of the variable. If the highest power is 1, it is linear; if it is greater than 1, it is non-linear.

Front

What does the slope of a linear equation represent?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

What is the y-intercept in a linear equation?

Back

Front

Give an example of a linear equation.

Back

Front

Give an example of a non-linear equation.

Back

Front

What is the significance of the exponent in an equation?

Back

The exponent determines the degree of the equation. A degree of 1 indicates a linear equation, while a degree greater than 1 indicates a non-linear equation.