Finding Rate of Change Flashcard

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 represented as the slope of a line.

Front

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

Back

Rate of change (slope) = (y2 - y1) / (x2 - x1).

Front

What does it mean if the rate of change is undefined?

Back

An undefined rate of change occurs when the x-values of two points are the same, indicating a vertical line.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If the rate of change is positive, what does that indicate about the line?

Back

A positive rate of change indicates that the line is increasing as it moves from left to right.

Front

If the rate of change is negative, what does that indicate about the line?

Back

A negative rate of change indicates that the line is decreasing as it moves from left to right.

Front

What is the rate of change between the points (1, 2) and (3, 6)?

Back

Rate of change = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

What is the rate of change between the points (2, 4) and (2, -11)?

Back

The rate of change is undefined because the x-values are the same.

Front

What does a slope of -1.5 represent in a real-world context?

Back

A slope of -1.5 could represent a decrease of 1.5 units in y for every 1 unit increase in x.