Finding Slope

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) over the change in x (run).

Front

How do you find the slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) and use the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend.

Front

What is a zero slope?

Back

A zero slope means that the line is horizontal, indicating that there is no change in y as x changes.

Front

What is an undefined slope?

Back

An undefined slope occurs when a line is vertical, meaning there is no change in x as y changes.

Front

Calculate the slope between the points (2, 3) and (5, 11).

Back

m = (11 - 3) / (5 - 2) = 8 / 3.

Front

If a line has a slope of -5/3, what type of slope is it?

Back

It is a negative slope.

Front

If a line has a slope of 4, what type of slope is it?

Back

It is a positive slope.

Front

What is the formula for slope?

Back

The formula for slope is m = (y2 - y1) / (x2 - x1).