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

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 one variable changes for a unit change in the other variable.

Front

How can you identify a linear graph?

Back

A linear graph can be identified by its straight line, constant slope, and the fact that it can be described by a linear equation of the form y = mx + b.

Front

What is the equation of a linear graph?

Back

The equation of a linear graph is typically written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept in a linear graph?

Back

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

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 curved?

Back

If a graph is curved, it indicates a nonlinear relationship between the variables, meaning the rate of change is not constant.

Front

How can you tell if a graph is linear or nonlinear just by looking at it?

Back

You can tell if a graph is linear or nonlinear by observing its shape: if it forms a straight line, it is linear; if it curves or bends, it is nonlinear.

Front

What is the significance of a horizontal line in a graph?

Back

A horizontal line in a graph indicates that the dependent variable does not change as the independent variable changes, representing a constant value.