Two distinct points in the plane determine a _________________ line

General
1

two distinct points in the plane determine a _________________ line.

2

Two distinct points in the plane determine a _________________ line.

Answer: Two distinct points in the plane determine a unique line.

Explanation:

  • When you have two distinct points, they can only be connected by one straight line. This is because a line is the shortest distance between two points, and no other line can pass through exactly these two points without coinciding with the original line.

  • This concept is fundamental in geometry, highlighting how any two points in a plane will always determine one and only one line.

Summary: Two distinct points uniquely determine a single line, emphasizing the direct and fixed relationship between points and lines in geometry.