Rate of Change from a Graph

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 fraction.

Front

How is the rate of change represented on a graph?

Back

The rate of change is represented by the slope of the line on a graph, which indicates how steep the line is.

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 formula for calculating the rate of change?

Back

Rate of Change = (Change in y) / (Change in x) or (y2 - y1) / (x2 - x1).

Front

If a car travels 120 miles in 2 hours, what is the rate of change?

Back

60 miles/hour.

Front

What is the rate of change for a graph that shows a straight line?

Back

The rate of change is constant for a straight line.

Front

How do you find the slope of a line on a graph?

Back

The slope is found by selecting two points on the line and using the formula (y2 - y1) / (x2 - x1).

Front

What does a slope of zero indicate?

Back

A slope of zero 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 indicates a vertical line where x does not change as y changes.