Rate of Change/Slope

Front

What is the rate of change?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity, often represented as the change in y over the change in x.

Front

How do you calculate the rate of change?

Back

Rate of change can be calculated using the formula: (change in y) / (change in x), also known as rise over run.

Front

What does a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

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

Front

What does a zero slope indicate?

Back

A zero slope indicates that there is no change in y as x changes; the line is horizontal.

Front

What does an undefined slope indicate?

Back

An undefined slope occurs when a line is vertical, meaning there is no change in x as y changes.

Front

What is the slope of a line that rises 4 units for every 2 units it runs?

Back

The slope is 2, calculated as rise/run = 4/2.

Front

If a line has a slope of -3, what does this mean?

Back

It means that for every 1 unit increase in x, y decreases by 3 units.

Front

What is the formula for slope between two points (x1, y1) and (x2, y2)?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.