Slope (Rise Over Run)

Front

What is slope?

Back

Slope is a measure of the steepness of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (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, 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 is a zero slope?

Back

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

Tags

CCSS.8.EE.B.5

Front

What is an undefined slope?

Back

An undefined slope occurs with a vertical line where the run is zero, leading to division by zero.

Tags

CCSS.8.EE.B.5

Front

How do you calculate slope using two points?

Back

Slope (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 is the slope of a line that rises 4 units for every 1 unit it runs?

Back

The slope is 4/1.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that falls 3 units for every 2 units it runs?

Back

The slope is -3/2.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 0, what does it look like?

Back

A line with a slope of 0 is horizontal.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 1, what does it look like?

Back

A line with a slope of 1 rises 1 unit for every 1 unit it runs, creating a 45-degree angle with the x-axis.

Tags

CCSS.8.EE.B.5