Finding Slope from a Graph

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 graph, select two points on the line, determine the rise (vertical change) and run (horizontal change) between them, and then divide the rise by the run.

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

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

The slope of a horizontal line is 0, indicating no vertical change as the x-value changes.

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

The slope is 3/4.

The slope is -2/5.

In the equation y = mx + b, 'm' represents the slope of the line.

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