5.4 Slope From A Table

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) divided by the change in x (run).

Front

How do you calculate the slope from a table of values?

Back

To calculate the slope from a table, select two points (x1, y1) and (x2, y2) and use the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, showing a rising line.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, showing a falling line.

Front

What does a zero slope indicate?

Back

A zero slope indicates that the line is horizontal, meaning there is no change in y as x changes.

Front

What is the slope of the line represented by the points (1, 3) and (4, 12)?

Back

The slope is 3, calculated as (12 - 3) / (4 - 1).

Front

If a table shows the points (2, 4) and (5, 10), what is the slope?

Back

The slope is 2, calculated as (10 - 4) / (5 - 2).

Front

What is the slope of the line if the points are (0, 0) and (3, 9)?

Back

The slope is 3, calculated as (9 - 0) / (3 - 0).

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is zero.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero because there is no change in y.