Slope Flashcard

Front

What is the rate of change in a linear relationship?

Back

The rate of change is the ratio of the change in the dependent variable to the change in the independent variable, often represented as the slope.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

What is the slope of a line that rises 4 units for every 5 units it runs?

Back

The slope is 4/5.

Front

What is the slope of a line that falls 2 units for every 1 unit it runs?

Back

The slope is -2.

Front

If a line has a positive slope, what does that indicate about the relationship between the variables?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

If a line has a negative slope, what does that indicate about the relationship between the variables?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions have a constant rate of change (slope), while nonlinear functions do not have a constant rate of change.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.