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) divided by the change in x (run).

Front

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

Back

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

Front

What does an undefined slope indicate?

Back

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

Front

What is the slope of the line that passes through the points (2, 4) and (6, 12)?

Back

The slope is 2.

Front

What is the slope of the line that passes through the points (-4, 5) and (-4, 2)?

Back

The slope is undefined.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What is the slope of a line that rises 3 units for every 4 units it runs?

Back

The slope is 3/4.

Front

What is the slope of a line that falls 5 units for every 2 units it runs?

Back

The slope is -5/2.

Front

In the context of a graph, what does a positive slope indicate?

Back

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

Front

In the context of a graph, what does a negative slope indicate?

Back

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