Slope from a Graph

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 slope using rise/run?

Back

Slope (m) = Rise / Run, where 'rise' is the vertical change and 'run' is the horizontal change between two points.

Front

What is the slope of a line that rises 3 units for every 1 unit it runs?

Back

The slope is 3, calculated as 3 (rise) / 1 (run).

Front

What is the slope of a line that falls 2 units for every 4 units it runs?

Back

The slope is -1/2, calculated as -2 (rise) / 4 (run).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls from left to right.

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 has a slope of 4/3, what does this mean in terms of rise and run?

Back

For every 4 units the line rises, it runs 3 units horizontally.

Front

How can you identify a line with a zero slope on a graph?

Back

A line with a zero slope is horizontal and does not rise or fall.