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).

Tags

CCSS.8.EE.B.5

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 the rise by the run.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, meaning there is no vertical change as the x-value changes.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the run (change in x) is 0, leading to division by zero.

Tags

CCSS.8.EE.B.5

Front

If a line rises 3 units for every 4 units it runs, what is the slope?

Back

The slope is 3/4.

Tags

CCSS.8.EE.B.5

Front

If a line falls 2 units for every 5 units it runs, what is the slope?

Back

The slope is -2/5.

Tags

CCSS.8.EE.B.5

Front

What is the formula for calculating slope?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does it mean if a slope is undefined?

Back

An undefined slope means the line is vertical, and there is no horizontal change.

Tags

CCSS.8.EE.B.5