Calculating Slope of a Line

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented by the letter 'm'. It is calculated as the change in the y-coordinate divided by the change in the x-coordinate.

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-coordinate increases, the y-coordinate also increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-coordinate increases, the y-coordinate decreases.

Front

What is an example of a line with zero slope?

Back

An example of a line with zero slope is the line y = 5, which is horizontal.

Front

What is an example of a line with a positive slope?

Back

An example of a line with a positive slope is y = 2x + 1.

Front

What is an example of a line with a negative slope?

Back

An example of a line with a negative slope is y = -3x + 4.

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

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