Finding Slope from Tables and Graphs

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

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

A positive slope indicates that as the x-values increase, the y-values also increase, showing an upward trend.

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

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

To determine the slope from a graph, pick two points on the line, find the rise (vertical change) and run (horizontal change), and calculate m = rise/run.

The slope of a horizontal line is 0, as there is no vertical change regardless of the horizontal change.

The slope of a vertical line is undefined, as the run (horizontal change) is 0, leading to division by zero.

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

The formula for slope is m = (y2 - y1) / (x2 - x1).