Slope of a Line (Rise/Run)

Front

What is the definition of slope in mathematics?

Back

The slope of a line is a measure of its steepness, calculated 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 using rise and run?

Back

Slope (m) = Rise / Run, where 'rise' is the change in the y-coordinates and 'run' is the change in the x-coordinates between two points.

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-coordinate increases, the y-coordinate 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-coordinate increases, the y-coordinate decreases, meaning the line falls from left to right.

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 vertical change (rise) regardless of the horizontal change (run).

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 run is 0 and division by zero is not possible.

Tags

CCSS.8.EE.B.5

Front

If a line rises 3 units and runs 4 units, what is the slope?

Back

Slope = Rise / Run = 3 / 4.

Tags

CCSS.8.EE.B.5

Front

If a line falls 2 units and runs 5 units, what is the slope?

Back

Slope = Rise / Run = -2 / 5.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2, which is the coefficient of x in the equation.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = -1/2x + 4?

Back

The slope is -1/2, which is the coefficient of x in the equation.

Tags

CCSS.8.EE.B.5