Interpret Slope from a Graph

Front

What is slope in a graph?

Back

Slope is a measure of the steepness or incline of a line, calculated 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 the slope between two points (x1, y1) and (x2, y2)?

Back

The 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?

Back

A positive slope indicates that as the x-value increases, the y-value 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 the x-value increases, the y-value 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, 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 there is no horizontal change.

Tags

CCSS.8.EE.B.5

Front

If a line rises 3 units for every 4 units it runs, what is the slope?

Back

Tags

CCSS.8.EE.B.5

Front

If a line falls 2 units for every 5 units it runs, what is the slope?

Back

Tags

CCSS.8.EE.B.5

Front

What does the slope represent in a real-world context, such as cost vs. quantity?

Back

The slope represents the rate of change, indicating how much the cost increases or decreases for each additional unit of quantity.

Tags

CCSS.8.EE.B.5

Front

How can you interpret the slope in the context of a graph showing distance over time?

Back

The slope represents the speed or rate of travel; a steeper slope indicates a faster speed.

Tags

CCSS.8.EE.B.5