Slope from a Graph

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Tags

CCSS.8.EE.B.5

Front

How do you calculate slope using two points?

Back

Slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

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, resulting in 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, resulting in a downward trend.

Tags

CCSS.8.EE.B.5

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line where there is no change in the y-value as the x-value changes.

Tags

CCSS.8.EE.B.5

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where the x-value remains constant while the y-value changes.

Tags

CCSS.8.EE.B.5

Front

If a line rises 4 units and runs 2 units, what is the slope?

Back

The slope is 4/2 = 2.

Tags

CCSS.8.EE.B.5

Front

If a line falls 3 units and runs 6 units, what is the slope?

Back

The slope is -3/6 = -1/2.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that is perfectly horizontal?

Back

The slope of a perfectly horizontal line is 0.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that is perfectly vertical?

Back

The slope of a perfectly vertical line is undefined.

Tags

CCSS.8.EE.B.5