Finding Slope from a Graph

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented 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 from a graph?

Back

To calculate slope from a graph, identify two points on the line, determine the rise (change in y) and run (change in x), and use the formula: Slope (m) = rise/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 is zero slope?

Back

Zero slope occurs when a line is horizontal, meaning there is no vertical change as the x-value changes.

Front

What is an undefined slope?

Back

An undefined slope occurs when a line is vertical, meaning there is no horizontal change as the y-value changes.

Front

If a line passes through the points (2, 3) and (4, 7), what is the slope?

Back

Slope (m) = (7 - 3) / (4 - 2) = 4/2 = 2.

Front

If a line passes through the points (1, 2) and (1, 5), what is the slope?

Back

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

Front

What is the slope of a line that runs from (0, 0) to (3, 3)?

Back

Slope (m) = (3 - 0) / (3 - 0) = 3/3 = 1.

Front

What is the slope of a line that runs from (1, 4) to (1, 1)?

Back

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