Slope (from a table)

Front

What is the slope?

Back

The slope is a measure of the steepness or incline of a line, 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 a rising line.

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 falling line.

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 change in the y-values regardless of the x-values.

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 the change in x-values is 0, leading to division by zero.

Tags

CCSS.8.EE.B.5

Front

If the slope is 1/2, what does this mean?

Back

A slope of 1/2 means that for every 2 units you move horizontally to the right, you move 1 unit up vertically.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the points (2, 3) and (4, 7)?

Back

The slope is (7 - 3) / (4 - 2) = 4 / 2 = 2.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the points (1, 2) and (1, 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 does a slope of 0.25 represent?

Back

A slope of 0.25 means that for every 4 units you move horizontally to the right, you move 1 unit up vertically.

Tags

CCSS.8.EE.B.5