Slope (Rise Over Run)

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run).

Front

How do you calculate slope?

Back

Slope is calculated using the formula: Slope (m) = Rise / Run.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line rises 3 units for every 2 units it runs, what is the slope?

Back

The slope is 3/2.

Front

If a line falls 4 units for every 1 unit it runs, what is the slope?

Back

The slope is -4/1 or -4.

Front

What is the slope of a line that goes through the points (1, 2) and (3, 6)?

Back

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

Front

What is the slope of a line that goes through the points (2, 3) and (2, 5)?

Back

The slope is undefined because the line is vertical.