Finding the Slope From a Graph

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 find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, determine the rise (vertical change) and run (horizontal change) between these points, and then divide the rise by the run.

Front

What does a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

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

Front

What does a slope of zero mean?

Back

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

Front

What does an undefined slope mean?

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 (4, 7).

Back

The slope (m) is (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

Calculate the slope between the points (1, 2) and (1, 5).

Back

The slope is undefined because the x-values are the same (1), indicating a vertical line.

Front

If a line goes through the points (0, 0) and (3, 6), what is the slope?

Back

The slope is (6 - 0) / (3 - 0) = 6 / 3 = 2.

Front

What is the slope of a line that is perfectly horizontal?

Back

The slope of a perfectly horizontal line is 0.