A14 - Slope

Front

What is the definition of slope?

Back

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

Front

What does 'rise' refer to in the context of slope?

Back

'Rise' refers to the vertical change between two points on a line.

Front

What does 'run' refer to in the context of slope?

Back

'Run' refers to the horizontal change between two points on a line.

Front

What is the slope formula?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

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 about a line?

Back

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

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.

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.