Linear or nonlinear

Front

What is a linear graph?

Back

A linear graph is a graph that represents a linear equation, showing a straight line when plotted on a coordinate plane.

Front

What is a nonlinear graph?

Back

A nonlinear graph is a graph that does not form a straight line, indicating a relationship that is not linear.

Front

How can you identify a linear graph?

Back

A linear graph can be identified by its straight line, which indicates a constant rate of change.

Front

How can you identify a nonlinear graph?

Back

A nonlinear graph can be identified by its curved or U-shaped line, indicating varying rates of change.

Front

What does it mean if a graph is not a straight line?

Back

If a graph is not a straight line, it is considered nonlinear, indicating that the relationship between the variables is not constant.

Front

What is an example of a linear equation?

Back

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

Front

What is an example of a nonlinear equation?

Back

An example of a nonlinear equation is y = x^2.

Front

What does the slope of a linear graph represent?

Back

The slope of a linear graph represents the rate of change between the two variables.

Front

What is the significance of the y-intercept in a linear graph?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when x is zero.

Front

Can a graph be both linear and nonlinear?

Back

No, a graph cannot be both linear and nonlinear; it must fit one definition or the other.