The document discusses the number of lines that can be drawn through points. It states that just one line can be drawn through points M and N simultaneously. An infinite number of lines can be drawn through just point M. Zero lines can be drawn through points M, N, and O simultaneously.

1. Example: Drawing lines through points
How many lines can be drawn through:
Points M and N, simultaneously?
Just point M?
Points M, N, and O at the same time?
NM
O

2. Example: Drawing lines through points
How many lines can be drawn through:
Points M and N, simultaneously?
Just point M?
Points M, N, and O at the same time?
NM
O

3. Example: Drawing lines through points
How many lines can be drawn through:
Points M and N, simultaneously?
Just one line
Just point M?
Points M, N, and O at the same time?
NM
O

4. Example: Drawing lines through points
How many lines can be drawn through:
Points M and N, simultaneously?
Just one line
Just point M?
Points M, N, and O at the same time?
NM
O
Through point M we already have one line.

5. Example: Drawing lines through points
How many lines can be drawn through:
Points M and N, simultaneously?
Just one line
Just point M?
Points M, N, and O at the same time?
NM
O
Through point M we already have one line.
However, we can draw many, many more.

6. Example: Drawing lines through points
How many lines can be drawn through:
Points M and N, simultaneously?
Just one line
Just point M?
We can draw an infinite number of lines through point M.
Points M, N, and O at the same time?
NM
O
Through point M we already have one line.
However, we can draw many, many more.

7. Example: Drawing lines through points
How many lines can be drawn through:
Points M and N, simultaneously?
Just one line
Just point M?
We can draw an infinite number of lines through point M.
Points M, N, and O at the same time?
Zero lines can be drawn through points M, N, and O
NM
O
We can draw lines through M and N or M
and O, but it is impossible to draw a line
through M, N and O simultaneously.