Linear or Not

Front

What is a linear equation?

Back

An equation that can be written in the form y = mx + b, where m and b are constants.

Front

What is a nonlinear equation?

Back

An equation that cannot be written in the form y = mx + b, often involving exponents, roots, or other non-linear terms.

Front

What does the graph of a linear function look like?

Back

A straight line.

Front

What does the graph of a nonlinear function look like?

Back

A curve or any shape that is not a straight line.

Front

What is the slope in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

How can you determine if an equation is linear?

Back

If it can be rearranged to the form y = mx + b, it is linear.

Front

What is an example of a linear equation?

Back

y = 2x + 3.

Front

What is an example of a nonlinear equation?

Back

y = x^2 + 2.

Front

What is a characteristic of a linear graph?

Back

It has a constant slope.