Slope from Tables

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 calculate 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 a direct relationship.

A negative slope indicates that as the x-values increase, the y-values decrease, showing an inverse relationship.

Direct variation is a relationship between two variables where one variable is a constant multiple of the other, expressed as y = kx, where k is the constant of variation.

A table represents direct variation if the ratio of y to x is constant for all pairs of values.

The slope of the line is 3.

A slope of 0 means the line is horizontal, indicating that there is no change in y as x changes.

The slope of the line is -2.

An undefined slope means the line is vertical, indicating that there is no change in x as y changes.