Slope Practice

Front

What is the definition of slope?

Back

Slope is defined as the ratio of the rise (vertical change) to the run (horizontal change) between two points on a line.

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 is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as the x-value changes.

Front

What is the slope of a vertical line?

Back

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

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

Find the slope between the points (3, 4) and (5, 8).

Back

The slope is m = (8 - 4) / (5 - 3) = 4 / 2 = 2.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

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

Front

If a line has a slope of 1/2, what does this mean?

Back

A slope of 1/2 means that for every 2 units of horizontal change (run), there is a 1 unit of vertical change (rise).

Front

What is the slope of the line passing through the points (1, 2) and (1, 5)?

Back

The slope is undefined because the x-values are the same, indicating a vertical line.