Endpoint Calculator - Find Endpoint of Line Segment
Easily calculate the endpoint of a line segment using our online Endpoint Calculator. Input midpoint and one endpoint coordinates to find the other endpoint. Step-by-step solution included.
Enter Coordinates
Result
Endpoint Coordinates:
Calculation Steps:
Understanding Endpoint Calculator
The Endpoint Calculator is a tool used to find the coordinates of an endpoint of a line segment when you know the midpoint and the other endpoint. A line segment is defined by two endpoints, and the midpoint is the point exactly halfway between these endpoints.
Formula:
If we have a starting point A(\(x_1, y_1\)) and a midpoint M(\(x_m, y_m\)), and we want to find the endpoint B(\(x_2, y_2\)), we use the formulas derived from the midpoint formula:
- Endpoint x-coordinate (\(B_x\)): \(B_x = 2M_x - A_x\)
- Endpoint y-coordinate (\(B_y\)): \(B_y = 2M_y - A_y\)
Example:
Suppose the starting point of a line segment is A(1, 2) and the midpoint is M(4, 5). To find the endpoint B, we calculate:
- \(B_x = 2 \times 4 - 1 = 7\)
- \(B_y = 2 \times 5 - 2 = 8\)
Thus, the endpoint B is (7, 8). Use this calculator to easily compute endpoints for various geometry problems and coordinate geometry exercises.