Finding Slope with Points Review (8)

Front

What is the definition of slope in mathematics?

Back

Slope (m) is a measure of the steepness of a line, calculated as the change in y (rise) over the change in x (run).

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does it mean if the slope is positive?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slanting line.

Front

What does it mean if the slope is negative?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slanting line.

Front

What does an undefined slope indicate?

Back

An undefined slope occurs when a vertical line is drawn, meaning the change in x is zero (x1 = x2).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no change in y as x changes.

Front

Given points (3,3) and (2,0), what is the slope?

Back

Slope = (0 - 3) / (2 - 3) = 3.

Front

Given points (-2,5) and (-2,8), what is the slope?

Back

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

Front

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

Back

Slope = (6 - 2) / (3 - 1) = 2.

Front

If a line has a slope of 0, what does that tell you about the line?

Back

The line is horizontal and does not rise or fall.