Slope from a Graph

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope from a graph?

Back

To calculate the slope from a graph, select two points on the line, determine the rise (vertical change) and run (horizontal change) between them, and divide rise by 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, meaning the line rises from left to right.

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, 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 because the run is 0, leading to division by zero.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope is 3/6, which simplifies to 1/2.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope is -4/2, which simplifies to -2.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that does not change in height?

Back

The slope is 0, indicating a horizontal line.

Tags

CCSS.8.EE.B.5

Front

What does it mean if a slope is steep?

Back

A steep slope means a large change in y for a small change in x, indicating a greater steepness.

Tags

CCSS.8.EE.B.5