Finding Rate of Change from a Graph

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 (rise) to the horizontal change (run) between two points on the line.

Front

How do you find the slope of a line?

Back

The slope is found using the formula: Slope = Rise/Run.

Front

If a line rises 2 units for every 7 units it runs, what is the slope?

Back

The slope is 2/7.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing, meaning as the x-value increases, the y-value decreases.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line is increasing, meaning as the x-value increases, the y-value also increases.

Front

What is the slope of a line that falls 2 units for every 1 unit it runs?

Back

The slope is -2.

Front

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

Back

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

Front

If a graph shows a constant increase of $5 for each movie sold, what is the rate of change?

Back

The rate of change is $5 per movie.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal, meaning there is no change in the y-value as the x-value changes.

Front

What is the formula for calculating slope using two points (x1, y1) and (x2, y2)?

Back

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