Slope From a Table

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 table of values?

Back

To calculate the slope from a table, select two points (x1, y1) and (x2, y2) from the table, and use the formula: slope = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, 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-values increase, the y-values decrease, showing a downward trend.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the points (1, 2) and (3, 6)?

Back

The slope is (6 - 2) / (3 - 1) = 4 / 2 = 2.

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the points (0, 0) and (4, 8)?

Back

The slope is (8 - 0) / (4 - 0) = 8 / 4 = 2.

Tags

CCSS.8.EE.B.5

Front

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

Back

A slope of 0 means the line is horizontal, indicating that the y-value does not change as the x-value changes.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line if it goes down from left to right?

Back

The slope is negative.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line if it goes up from left to right?

Back

The slope is positive.

Tags

CCSS.8.EE.B.5