Rate of Change

Front

What is the slope formula?

Back

The slope formula is m = (y2 - y1) / (x2 - x1), where m is the slope, (x1, y1) and (x2, y2) are two points on a line.

Front

Find the rate of change if a car travels 100 miles in 4 hours.

Back

The rate of change is 25 miles per hour.

Front

What is the direction of a positive slope?

Back

A positive slope indicates that as x increases, y also increases.

Front

If your profit increases from $50 to $100 over 5 hours, what is the rate of change?

Back

The rate of change is $10 per hour.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases.

Front

If a tank is filled with water at a rate of 3 gallons per minute, what is the rate of change?

Back

The rate of change is 3 gallons per minute.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

If a line goes up from left to right, what type of slope does it have?

Back

It has a positive slope.

Front

Calculate the rate of change if a plant grows from 10 cm to 30 cm in 4 weeks.

Back

The rate of change is 5 cm per week.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.