Let be the line containing the points and . Determine which of the following points are also on .

- ;
- ;
- ;
- ;
- ;
- ;
- .

First, the line containing the points and is the set of points

- The point is not on since
But then . Hence, there is no such that , so is not on .

- The point is on since
And then and . Hence, where . Thus, is on .

- The point is not on since
But then . Hence, there is no such that , so is not on .

- The point is not on since
But then . Hence, there is no such that , so is not on .

- The point is on since
And then and . Hence, where . Thus, is on .

- The point is on since
And then and . Hence, where . Thus, is on .

- The point is not on since
But then . Hence, there is no such that , so is not on .