Modeling Linear Functions

Front

What is a linear function?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is and the direction it goes (positive or negative).

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never intersect or meet. They have the same slope but different y-intercepts.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). The slopes of two perpendicular lines are negative reciprocals of each other.

Front

What is the y-intercept of a linear function?

Back

Front

What does a positive correlation indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also increases. The relationship is direct.

Front

What does a negative correlation indicate?

Back

A negative correlation indicates that as one variable increases, the other variable decreases. The relationship is inverse.

Front

What is causation?

Back

Causation indicates that one event is the result of the occurrence of another event. It implies a direct cause-and-effect relationship.

Front

What is correlation?

Back

Correlation is a statistical measure that describes the extent to which two variables change together. It does not imply causation.

Front

How do you determine if two lines are parallel or perpendicular from their equations?

Back

To determine if two lines are parallel, check if their slopes are equal. To determine if they are perpendicular, check if the product of their slopes is -1.