Slope from Graphs

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 calculate slope using a graph?

Back

Slope is calculated using the formula: slope = rise over 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 an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the change in x is zero, making the slope calculation impossible.

Front

What does a slope of zero indicate?

Back

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

Front

If a line rises 4 units and runs 2 units, what is the slope?

Back

The slope is 4/2 = 2.

Front

If a line falls 3 units and runs 6 units, what is the slope?

Back

The slope is -3/6 = -1/2.

Front

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

Back

Use the formula: slope = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line that goes through the points (1, 2) and (3, 6)?

Back

The slope is (6 - 2) / (3 - 1) = 4/2 = 2.