Rate of Change

Front

What is the definition of 'Rate of Change'?

Back

The rate of change is a measure of how a quantity changes in relation to another quantity, often expressed as a ratio or a slope.

Front

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

Back

Rate of Change = (y2 - y1) / (x2 - x1)

Front

What does a positive rate of change indicate?

Back

A positive rate of change indicates that as one quantity increases, the other quantity also increases.

Front

What does a negative rate of change indicate?

Back

A negative rate of change indicates that as one quantity increases, the other quantity decreases.

Front

What is the rate of change of a horizontal line?

Back

The rate of change of a horizontal line is 0, indicating no change in the y-value as x changes.

Front

What is the rate of change of a vertical line?

Back

The rate of change of a vertical line is undefined, as it involves division by zero.

Front

If a line has a slope of 4, what is the rate of change?

Back

The rate of change is 4, meaning for every 1 unit increase in x, y increases by 4 units.

Front

What is the rate of change for the function y = 3x + 2?

Back

The rate of change is 3, which is the coefficient of x.

Front

What is the significance of the slope in a linear equation?

Back

The slope represents the rate of change between the dependent and independent variables.

Front

If the rate of change is 2, what does this mean in practical terms?

Back

It means that for every 1 unit increase in the independent variable, the dependent variable increases by 2 units.