Slope from a Graph

Front

What is slope?

Back

Slope is the ratio of rise over run, vertical change over horizontal change, or change in y over change in x.

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope of a line?

Back

Slope (m) = (change in y) / (change in x) = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases.

Tags

CCSS.8.EE.B.5

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal and there is no change in y as x changes.

Tags

CCSS.8.EE.B.5

Front

What does an undefined slope mean?

Back

An undefined slope means the line is vertical, and there is no change in x as y changes.

Tags

CCSS.8.EE.B.5

Front

If a line rises 3 units for every 2 units it runs, what is the slope?

Back

The slope is 3/2.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope is -4.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that goes through the points (1, 2) and (3, 6)?

Back

The slope is 2.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that goes through the points (2, 3) and (2, 5)?

Back

The slope is undefined.

Tags

CCSS.8.EE.B.5