Slope from Tables and Graphs

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 rise (vertical change) to the run (horizontal change) between two points on the line.

Front

How do you calculate slope from a graph?

Back

To calculate the slope from a graph, select two points on the line, determine the rise (change in y) and the run (change in x), and then use the formula: slope (m) = rise/run.

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, as there is no vertical change (rise) regardless of the horizontal change (run).

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the run is 0 and division by zero is not possible.

Front

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

Back

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

Front

What does it mean if the slope is 1/2?

Back

A slope of 1/2 means that for every 2 units you move horizontally to the right, you move 1 unit up vertically.

Front

What does it mean if the slope is -3?

Back

A slope of -3 means that for every 1 unit you move horizontally to the right, you move 3 units down vertically.

Front

What is the formula for slope?

Back

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