Average Slope Calculator

Calculate Average Slope



Formula

The formula to calculate the Average Slope is:

\[ \text{Average Slope} = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1} \]

Where:

What is Average Slope?

The average slope is a measure of the steepness or incline of a line connecting two points. It is calculated by dividing the change in the y-coordinates by the change in the x-coordinates.

Example Calculation

Consider an example where the X and Y values are:

Using the formula to calculate the Average Slope:

\[ \text{Average Slope} = \frac{(4-2) + (6-4) + (8-6)}{(2-1) + (3-2) + (4-3)} = \frac{2 + 2 + 2}{1 + 1 + 1} = 2 \]

This means that the average slope for this example is 2.