Slope from a Table

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness or incline of a line, typically represented 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 from a table of values?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a slope of 2 indicate about a line?

Back

A slope of 2 indicates that for every 1 unit increase in the x-direction, the y-value increases by 2 units.

Tags

CCSS.8.EE.B.5

Front

What does a slope of 1/2 indicate about a line?

Back

A slope of 1/2 indicates that for every 2 units increase in the x-direction, the y-value increases by 1 unit.

Tags

CCSS.8.EE.B.5

Front

What is the first step in finding the slope from a table?

Back

The first step is to select two points from the table that you will use to calculate the slope.

Tags

CCSS.8.EE.B.5

Front

What is the second step when finding the slope from a table?

Back

The second step is to find the pattern in the x-values, which involves determining the change in x.

Tags

CCSS.8.EE.B.5

Front

What is the third step when finding the slope from a table?

Back

The third step is to write the fraction as \( \frac{y\ pattern}{x\ pattern} \).

Tags

CCSS.8.EE.B.5

Front

What does a slope of 5/2 indicate about a line?

Back

A slope of 5/2 indicates that for every 2 units increase in the x-direction, the y-value increases by 5 units.

Tags

CCSS.8.EE.B.5

Front

What is the significance of a positive slope?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, showing a direct relationship.

Tags

CCSS.8.EE.B.5

Front

What is the significance of a negative slope?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, showing an inverse relationship.

Tags

CCSS.8.EE.B.5