Slope (rise over run)

Front

What is the slope?

Back

The slope is a measure of the steepness of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run).

Front

What is the formula for calculating slope?

Back

Slope (m) = (change in y) / (change in x) = (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, showing 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, showing a downward trend.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no vertical change.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the run (horizontal change) is 0.

Front

How do you correctly write an ordered pair?

Back

An ordered pair is written as (x, y), where x is the horizontal coordinate and y is the vertical coordinate.

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 (3, 0).

Back

Slope = (0 - 2) / (3 - 1) = -2 / 2 = -1.

Front

What is the slope of the line represented by the equation y = 3x + 1?

Back

The slope is 3, which is the coefficient of x.