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 the vertical direction (rise) divided by the change in the horizontal direction (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) from the table, 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, showing an upward trend.

Front

What does a negative slope indicate?

Back

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

Front

What is the slope of the line represented by the points (1, 2) and (3, 6)?

Back

The slope is (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

What is the slope of the line represented by the points (2, 3) and (2, 5)?

Back

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

Front

What is the slope of the line represented by the points (0, 0) and (4, 8)?

Back

The slope is (8 - 0) / (4 - 0) = 8 / 4 = 2.

Front

If the slope of a line is 0, what does that mean?

Back

A slope of 0 means the line is horizontal, indicating that the y-value does not change as the x-value changes.

Front

What is the slope of a line if it goes down from left to right?

Back

The slope is negative.

Front

What is the slope of a line if it goes up from left to right?

Back

The slope is positive.