rate of change

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. It is often expressed as a ratio or a slope.

Front

How do you calculate the rate of change between two points?

Back

To calculate the rate of change (slope) between two points (x1, y1) and (x2, y2), use the formula: (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 slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means that the line is horizontal, indicating no change in the y-value as the x-value changes.

Front

If a line has an undefined slope, what does that mean?

Back

An undefined slope occurs when a line is vertical, indicating that the x-value does not change while the y-value changes.

Front

What is the formula for finding the slope of a line given two points?

Back

The formula for finding the slope (m) of a line given two points (x1, y1) and (x2, y2) is: m = (y2 - y1) / (x2 - x1).

Front

What is a real-world example of rate of change?

Back

A real-world example of rate of change is speed, which measures how distance changes over time (e.g., miles per hour).

Front

What is the significance of the rate of change in a graph?

Back

The rate of change in a graph indicates how quickly one variable changes in relation to another, helping to understand trends and relationships.