Linear vs Non Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

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 may include exponents, logarithms, or other non-linear terms.

Front

How can you identify a linear equation?

Back

A linear equation can be identified by its highest degree being 1, meaning the variable is not raised to any power greater than 1.

Front

How can you identify a non-linear equation?

Back

A non-linear equation can be identified by the presence of exponents greater than 1, products of variables, or other non-linear terms.

Front

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

Back

The general form of a linear equation in two variables is Ax + By = C, where A, B, and C are constants.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

What is the graph of a linear equation?

Back

The graph of a linear equation is a straight line that extends infinitely in both directions.

Front

What is the graph of a non-linear equation?

Back

The graph of a non-linear equation can take various shapes, such as curves, circles, or parabolas, depending on the equation.

Front

Give an example of a linear equation.

Back

An example of a linear equation is 2x + 3y = 6.