Finding Rate of Change from a Graph

Front

What is the definition of slope in a graph?

Back

The slope is a measure of the steepness of a line, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line on a graph?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing an upward trend.

Front

What does a negative slope indicate about a line on a graph?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

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 a line goes down 5 units and right 2 units, what is the slope?

Back

The slope is -5/2.

Front

What does the term 'rate of change' refer to in a graph?

Back

Rate of change refers to how much one quantity changes in relation to another quantity, often represented by the slope of a line.

Front

How can you interpret the slope in a real-world context?

Back

The slope can represent rates such as speed, cost per item, or any other ratio of change between two quantities.

Front

What is the formula for finding the rate of change from a graph?

Back

Rate of change = (change in y) / (change in x).