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

What is the formula for calculating slope?

Back

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, resulting in 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, resulting in a downward trend.

Front

What does a zero slope indicate?

Back

A zero slope indicates that there is no vertical change; the line is horizontal.

Front

What does an undefined slope indicate?

Back

An undefined slope occurs when the line is vertical, meaning there is no horizontal change.

Front

If a line goes up from left to right, what type of slope does it have?

Back

It has a positive slope.

Front

If a line goes down from left to right, what type of slope does it have?

Back

It has a negative slope.

Front

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

Back

Slope = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

Calculate the slope between the points (1, 2) and (1, 5).

Back

The slope is undefined because the x-values are the same.