Slope from a 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 calculate the slope from two points (x1, y1) and (x2, y2)?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of -5/3, what does this tell you about its direction?

Back

The line falls from left to right, indicating a negative slope.

Tags

CCSS.8.EE.B.5

Front

What type of slope does a line with a slope of 0 have?

Back

A line with a slope of 0 is horizontal.

Tags

CCSS.8.EE.B.5

Front

If a line rises steeply, what can you say about its slope?

Back

The slope is positive and has a large absolute value.

Tags

CCSS.8.EE.B.5

Front

If a line falls gently, what can you say about its slope?

Back

The slope is negative and has a small absolute value.

Tags

CCSS.8.EE.B.5