Identify the Slope

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How do you determine if a slope is positive or negative?

Back

A slope is positive if the line rises from left to right and negative if it falls from left to right.

Front

What is the formula for calculating slope?

Back

The formula for calculating slope (m) is: m = rise/run.

Front

What does a slope of zero indicate?

Back

A slope of zero indicates a horizontal line, meaning there is no vertical change as you move along the line.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the run is zero, leading to division by zero in the slope formula.

Front

If a line rises 3 units for every 1 unit it runs, what is the slope?

Back

The slope is 3.

Front

If a line falls 2 units for every 4 units it runs, what is the slope?

Back

The slope is -0.5 (or -1/2).

Front

What is the slope of a line that runs horizontally?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that runs vertically?

Back

The slope of a vertical line is undefined.

Front

How can you visually identify the slope of a line on a graph?

Back

You can visually identify the slope by observing the direction of the line: if it goes up from left to right, it's positive; if it goes down, it's negative.