What is wrong in this statement? How can I change it to make it correct?

Question

"If there is a line and a point not on the line, then there is exactly one line through the point that intersects the given line."

Answer 1

What's wrong is the conditions are not exclusive enough. There is only one line through a point not on a given line which intersects that line at right angles (thus giving the shortest distance to the line from the outside point).

Answer 2

Come on, Pearl, let's think about it. A line goes on forever in both directions. Is there only one line that connects the point to that line? No, there is an infinite number of lines.