Slope (graphs, tables, points)

Front

What is the definition of slope in mathematics?

Back

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

Tags

CCSS.8.EE.B.5

Front

How is slope calculated using two points (x1, y1) and (x2, y2)?

Back

Slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a line on a graph?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line on a graph?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, 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, as there is no vertical change (rise) regardless of the horizontal change (run).

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the run is 0 and division by zero is not possible.

Tags

CCSS.8.EE.B.5

Front

If the slope of a line is 2, what does this mean in terms of rise and run?

Back

A slope of 2 means that for every 1 unit of horizontal change (run), the vertical change (rise) is 2 units.

Tags

CCSS.8.EE.B.5

Front

Given the points (1, 4) and (5, 9), what is the slope?

Back

The slope is 5/4, calculated as (9 - 4) / (5 - 1).

Tags

CCSS.8.EE.B.5

Front

Given the points (2, -7) and (-1, 6), what is the slope?

Back

The slope is -13/3, calculated as (6 - (-7)) / (-1 - 2).

Tags

CCSS.8.EE.B.5

Front

What is the slope between the points (2, 7) and (5, 8)?

Back

The slope is 1/3, calculated as (8 - 7) / (5 - 2).

Tags

CCSS.8.EE.B.5