Slope from two points

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in vertical distance (rise) over the change in horizontal distance (run).

Front

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

Back

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

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 y as x changes.

Front

What does an undefined slope indicate?

Back

An undefined slope occurs with a vertical line where there is no change in x as y changes.

Front

Find the slope of the line that passes through (10, 1) and (5, 2).

Back

Slope = (2 - 1) / (5 - 10) = -1/5.

Front

Find the slope of the line that passes through (2, 3) and (2, 5).

Back

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

Front

Find the slope of the line that passes through (1, 2) and (4, 5).

Back

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

Front

What is the slope of a line that is perfectly horizontal?

Back

The slope is 0.