Determining if a line exists through all points in a plane

Given a set of points in the plane, this problem determines whether or not there exists a line that goes through all of the points. The input is a set of points in the plane, and the output is either "Yes" or "No" indicating whether or not such a line exists.

Problem

Given a set of points in the plane, determine if there exists a line that goes through all of the points.
Input: A set of points in the plane
Output: Yes or No

Solution

by elrichendelgart 
There does not exist a line that goes through all of the points. This is because points are not all on the same line.
A.I. Evaluation of the Solution

The candidate's solution is incomplete and does not solve the problem. The candidate's approach is not general enough.

Evaluated at: 2022-11-11 18:15:17