Linear vs. Non-Linear Graphs

Front

What is a linear graph?

Back

A linear graph is a graph that represents a linear relationship between two variables, where the change in one variable is proportional to the change in the other, resulting in a straight line.

Front

What is a nonlinear graph?

Back

A nonlinear graph is a graph that represents a nonlinear relationship between two variables, where the change in one variable does not produce a constant change in the other, resulting in a curve or a non-straight line.

Front

How can you identify a linear graph?

Back

A linear graph can be identified by its straight line, constant slope, and the equation of the form y = mx + b, where m is the slope and b is the y-intercept.

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; it indicates how much y changes for a unit change in x.

Front

What is the y-intercept in a linear equation?

Back

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

Front

Can a linear graph have a negative slope?

Back

Yes, a linear graph can have a negative slope, indicating that as one variable increases, the other variable decreases.

Front

What is an example of a nonlinear relationship?

Back

An example of a nonlinear relationship is the relationship between the area of a circle and its radius, which is represented by the equation A = πr².

Front

What does it mean if a graph is not linear?

Back

If a graph is not linear, it means that the relationship between the variables is not constant, and the graph may show curves, bends, or changes in direction.

Front

What type of graph represents a quadratic function?

Back

A quadratic function is represented by a parabolic graph, which is a type of nonlinear graph.

Front

How do you determine if a graph is linear or nonlinear?

Back

To determine if a graph is linear or nonlinear, check if the points form a straight line (linear) or a curve (nonlinear) when plotted.