Slope from Table/Graph

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change to the horizontal change between two points on the line.

To calculate the slope from a graph, choose two points on the line, find the vertical change (rise) and the horizontal change (run), and then divide the rise by the run (slope = rise/run).

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

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.

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

An undefined slope occurs when a line is vertical, meaning there is no change in the x-value, and the slope cannot be calculated.

The slope is 4 (slope = rise/run = 4/1).

The slope is -2/3 (slope = rise/run = -2/3).

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

To determine the slope from a table, calculate the change in y-values divided by the change in x-values between two points.