Finding slope from graph.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) over the change in x (run).

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, determine the rise (vertical change) and run (horizontal change) between them, and then divide rise by run.

Front

What does a positive slope indicate?

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?

Back

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

Front

What does a slope of zero mean?

Back

A slope of zero means that the line is horizontal, indicating no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, meaning there is no change in x as y changes.

Front

If a line rises 4 units for every 1 unit it runs, what is the slope?

Back

The slope is 4/1 or simply 4.

Front

If a line falls 3 units for every 1 unit it runs, what is the slope?

Back

The slope is -3/1 or simply -3.

Front

How do you interpret a slope of -1/3?

Back

A slope of -1/3 means that for every 3 units you move to the right (increase in x), the line falls 1 unit (decrease in y).

Front

What is the formula for calculating slope?

Back

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