Coordinates
Enter the coordinates of two points.
Visual Plot
Straight Line Geometry
Comprehensive tools for analyzing linear relationships on a Cartesian plane.
Our calculator helps students and professionals master Coordinate Geometry by visualizing the relationship between two points. A straight line is the shortest distance between two points, and understanding its properties—like slope, distance, and midpoint—is fundamental to calculus, physics, and engineering.
- Euclidean Distance
- Slope (Gradient)
- Midpoint Coordinates
- Rise over Run
Math Rules
The length of the line segment connecting two points.
The steepness and direction of the line.
The point equidistant from both endpoints.
Distance & Slope Guide Guide
How to Use
- 1Enter the coordinates of Point 1 (x₁, y₁).
- 2Enter the coordinates of Point 2 (x₂, y₂).
- 3The calculator will instantly compute the Distance, Slope, Midpoint, and Angle between the two points.
Formula & Logic
The distance formula is derived from the Pythagorean theorem, calculating the length of the hypotenuse of the triangle formed by the vertical and horizontal distances between two points.
Practical Applications
Geometry Problems
Solve problems involving the lengths of sides of polygons on the coordinate plane.
Navigation
Calculate straight-line distance between two locations given their grid coordinates.
Data Analysis
Determine the rate of change (slope) between two data points on a graph.
Frequently Asked Questions
Q.What does it mean if the slope is undefined?
The slope is undefined for vertical lines because finding the slope involves dividing by zero (the change in x is zero).
Q.What is a zero slope?
A zero slope indicates a horizontal line. There is no vertical change as you move along the line.
Q.How do I find the midpoint?
The midpoint is the average of the x-coordinates and the average of the y-coordinates: ((x₁ + x₂)/2, (y₁ + y₂)/2).