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) between two points on the line.

Front

How do you calculate the slope of a line?

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, meaning the line rises from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What does a slope of zero mean?

Back

A slope of zero means that the line is horizontal and there is no vertical change as the x-value changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, meaning there is no horizontal change (run = 0), making the slope calculation impossible.

Front

If a line rises 4 units and runs 2 units, what is the slope?

Back

The slope is 4/2 = 2.

Front

If a line falls 3 units and runs 6 units, what is the slope?

Back

The slope is -3/6 = -1/2.

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 x-values are the same (2), indicating a vertical line.