slope

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 to the horizontal change between two points on the line.

Front

What is the formula for calculating slope?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in 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, resulting in a downward trend.

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line where there is no change in the y-value as the x-value changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where the x-value remains constant while the y-value changes.

Front

Find the slope between the points (2, 3) and (4, 7).

Back

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

Front

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

Back

Slope is undefined because the x-values are the same.

Front

Find the slope between the points (3, 4) and (6, 1).

Back

Slope = (1 - 4) / (6 - 3) = -3 / 3 = -1.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.