Slope Calculator

Calculate the slope of a line passing through two points and visualize it on an interactive graph.

Enter Coordinates

Input the x and y coordinates for two points to calculate the slope of the line passing through them.

Point 1 - X Coordinate (x1):

Point 1 - Y Coordinate (y1):

Point 2 - X Coordinate (x2):

Point 2 - Y Coordinate (y2):

Result

Slope (m):

Formula: $$m = rac{y_2 - y_1}{x_2 - x_1}$$

Line Visualization

Understanding Slope

The slope of a line, often denoted as 'm', is a measure of its steepness and direction. It represents the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line.

Formula: The slope (m) is calculated using the formula:

$$m = rac{y_2 - y_1}{x_2 - x_1}$$

Where (x1, y1) and (x2, y2) are the coordinates of two distinct points on the line.

Interpreting the Slope:

Positive Slope (m > 0): The line goes uphill from left to right.
Negative Slope (m < 0): The line goes downhill from left to right.
Zero Slope (m = 0): The line is horizontal.
Undefined Slope (x2 = x1): The line is vertical.

Use this calculator by entering the coordinates of two points to find the slope and visualize the line. This tool is helpful for students, educators, and anyone needing to quickly determine and understand the slope of a line in geometry and coordinate mathematics.