Slope from a Table

Front

What is the slope of a line?

Back

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

Front

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

Back

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

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-values increase, the y-values decrease.

Front

What is the slope of the line represented by the points (1, 2) and (4, 5)?

Back

The slope is (5 - 2) / (4 - 1) = 3 / 3 = 1.

Front

What is the slope of the line represented by the points (2, 3) and (2, 7)?

Back

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

Front

What is the formula for slope?

Back

Front

What is the slope of the line represented by the points (0, 0) and (3, 9)?

Back

The slope is (9 - 0) / (3 - 0) = 9 / 3 = 3.

Front

What is the third step in finding the slope from a table?

Back

Front

If the slope is 0, what does that mean?

Back

A slope of 0 means the line is horizontal, indicating that the y-values do not change as the x-values change.