Modeling Linear Functions

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.

Two lines are parallel if they have the same slope and will never intersect.

Two lines are perpendicular if the product of their slopes is -1. This means that one line is the negative reciprocal of the other.

Correlation is a statistical measure that describes the strength and direction of a relationship between two variables.

A strong negative correlation indicates that as one variable increases, the other variable tends to decrease significantly.

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

Correlation indicates a relationship between two variables, while causation indicates that one variable directly affects the other.