Slope from a Table

Front

What is the definition of 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, then use the formula: slope (m) = (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 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 -2, what does this mean in terms of rise and run?

Back

A slope of -2 means that for every 1 unit increase in the x-direction (run), the y-value decreases by 2 units (rise).

Tags

CCSS.8.EE.B.5

Front

Calculate the slope between the points (2, 3) and (4, 7).

Back

Using the formula: slope = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = -3x + 1?

Back

The slope of the line is -3, which indicates a steep downward trend.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 1/2, what does this imply about the relationship between x and y?

Back

A slope of 1/2 implies that for every 2 units increase in x, y increases by 1 unit.

Tags

CCSS.HSF.LE.B.5