Is it Linear?

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph. It means that as one variable changes, the other variable changes at a constant rate.

Front

How can you identify a linear graph?

Back

A linear graph is identified by a straight line. The slope of the line remains constant, indicating a consistent rate of change between the variables.

Front

What does it mean if a table of values is linear?

Back

If a table of values is linear, it means that the change in the output values (y) is proportional to the change in the input values (x), resulting in a straight line when graphed.

Front

What is the slope of a linear graph?

Back

The slope of a linear graph is a measure of how steep the line is. It is calculated as the change in the y-values divided by the change in the x-values (rise/run).

Front

What is a non-linear relationship?

Back

A non-linear relationship is a relationship between two variables that does not form a straight line when graphed. The rate of change between the variables is not constant.

Front

How can you tell if a graph is not linear?

Back

A graph is not linear if it curves or has a shape that is not a straight line. This indicates that the relationship between the variables is changing at different rates.

Front

What is an example of a linear equation?

Back

An example of a linear equation is y = 2x + 3. This equation represents a straight line when graphed.

Front

What is the difference between linear and non-linear equations?

Back

Linear equations represent straight lines and have a constant rate of change, while non-linear equations represent curves and have varying rates of change.

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is a y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It represents the value of y when x is zero.