Identifying Slope

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, often represented as the ratio of the vertical change to the horizontal change between two points on the line.

Tags

CCSS.8.EE.B.5

Front

How is slope calculated?

Back

Slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

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, showing 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, showing a downward trend.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as the x-value changes.

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 it represents a division by zero in the slope formula.

Tags

CCSS.8.EE.B.5

Front

What does the slope tell you about a line?

Back

The slope tells you the steepness, direction (upward or downward), and rate of change of the line.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 3/7, what does this mean?

Back

A slope of 3/7 means that for every 7 units moved horizontally, the line rises 3 units vertically.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the points (2, 3) and (5, 9)?

Back

The slope is (9 - 3) / (5 - 2) = 6 / 3 = 2.

Tags

CCSS.8.EE.B.5

Front

What is the unit of slope when measuring distance over time?

Back

The unit of slope is typically expressed as distance per time, such as meters per second (m/s).

Tags

CCSS.8.EE.B.5