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 does 'rise over run' mean in relation to slope?

Back

'Rise over run' refers to the formula used to calculate slope, where 'rise' is the change in the y-coordinate and 'run' is the change in the x-coordinate.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward line.

Front

What is a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward line.

Front

What does a slope of zero mean?

Back

A slope of zero means that the line is horizontal, indicating no change in the y-value 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 change in the x-value, leading to division by zero.

Front

If a line rises 3 units for every 4 units it runs, what is the slope?

Back

The slope is 3/4.

Front

If a line falls 2 units for every 5 units it runs, what is the slope?

Back

The slope is -2/5.

Front

What is the slope of a line that goes up 1 unit and right 2 units?

Back

The slope is 1/2.