Slope and Proportional Relationships

Front

What is the definition of slope?

Back

Slope is defined as the ratio of the rise (vertical change) to the run (horizontal change) between two points on a line.

Tags

CCSS.8.EE.B.5

Front

What is the formula to calculate slope?

Back

The formula to calculate slope (m) is: 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 the line that passes through the points (1, 2) and (3, 6)?

Back

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

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line that passes through the points (4, 5) and (4, 9)?

Back

The slope is undefined because the x-values are the same, indicating a vertical line.

Tags

CCSS.8.EE.B.5

Front

How do you find the slope using rise/run?

Back

To find the slope using rise/run, measure the vertical change (rise) and the horizontal change (run) between two points, then divide rise by run.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line that passes through the points (0, 0) and (5, 10)?

Back

The slope is 2, calculated as (10 - 0) / (5 - 0).

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal, indicating that there is no vertical change as the x-value changes.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line that passes through the points (2, 3) and (2, 1)?

Back

The slope is undefined because the x-values are the same, indicating a vertical line.

Tags

CCSS.8.EE.B.5