Find the Slope from Tables

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 ratio of the change in the y-coordinate to the change in the x-coordinate 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, select two points (x1, y1) and (x2, y2) from the table. Use the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing 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, showing a downward trend.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, meaning there is no change in the y-value as the x-value changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is 0, leading to division by zero in the slope formula.

Front

If the slope is -2, what does this mean?

Back

A slope of -2 means that for every 1 unit increase in x, the y-value decreases by 2 units.

Front

What is the slope of the line represented by the points (1, 3) and (4, 7)?

Back

Using the formula m = (y2 - y1) / (x2 - x1), the slope is m = (7 - 3) / (4 - 1) = 4/3.

Front

What is the slope of the line represented by the points (2, 5) and (2, 8)?

Back

The slope is undefined because both points have the same x-coordinate (2), indicating a vertical line.

Front

What does a slope of 1/2 represent?

Back

A slope of 1/2 means that for every 2 units increase in x, the y-value increases by 1 unit.