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.

Front

How do you find the slope between two points?

Back

Front

What is the y-intercept of a linear function?

Back

Front

What does it mean for two lines to be parallel?

Back

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

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1. This means that their slopes are opposite reciprocals.

Front

What is a positive correlation?

Back

A positive correlation indicates that as one variable increases, the other variable also increases. The graph of a positive correlation slopes upwards.

Front

What is a negative correlation?

Back

A negative correlation indicates that as one variable increases, the other variable decreases. The graph of a negative correlation slopes downwards.

Front

What does a correlation coefficient of 0 indicate?

Back

A correlation coefficient of 0 indicates no correlation between the two variables, meaning changes in one variable do not affect the other.

Front

What is the formula for the slope-intercept form of a linear equation?

Back