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 a ratio of the vertical change to the horizontal change between two points on the line.

Front

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

Back

To calculate the slope from a table, use the formula: slope (m) = (change in y) / (change in x) between two points.

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 (2, 3) and (4, 7)?

Back

The slope is (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

What is the slope of the line represented by the points (1, 5) and (3, 1)?

Back

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

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-values change.

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

If the slope of a line is 1/4, what does this mean?

Back

This means that for every 4 units moved horizontally, the line moves up 1 unit vertically.

Front

What is the formula for slope?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.