Line Equation from Two Points

Summary

Enter two coordinate points and instantly get the slope-intercept equation, intercepts, and distance with a live graph.

How it works

1. Enter the x and y coordinates for the first point (x1, y1).
2. Enter the x and y coordinates for the second point (x2, y2).
3. The slope m is calculated as (y2 - y1) / (x2 - x1).
4. The y-intercept b is derived from y = mx + b using one of the points.
5. The x-intercept is found by solving 0 = mx + b for x.
6. Distance is computed using the Pythagorean theorem: sqrt((x2-x1)^2 + (y2-y1)^2).

Use cases

• Verify homework answers for linear equation problems.
• Find the equation of a trend line through two data points.
• Calculate slope and intercepts for engineering or design problems.
• Visualize how changing coordinates shifts the line on a graph.
• Determine the distance between two locations on a coordinate map.
• Check if three points are collinear by testing the same equation.

Frequently Asked Questions