Slope

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

What does slope represent in a graph?

Back

Slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

How is slope calculated?

Back

Slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What is the slope of a line that rises to the right?

Back

The slope is positive.

Front

What is the slope of a line that falls to the right?

Back

The slope is negative.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Find the slope of the line that passes through (2, 3) and (4, 7).

Back

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

Front

Find the slope of the line that passes through (1, 1) and (3, 5).

Back

Slope = (5 - 1) / (3 - 1) = 4 / 2 = 2.

Front

If a line has a slope of -3, what does this indicate?

Back

It indicates that for every 1 unit increase in x, y decreases by 3 units.