Question
How many points (times) can two lines possibly intersect?
Answers
GPT-4o mini
Two lines in a plane can intersect at one point if they are neither parallel nor identical. If the lines are parallel, they do not intersect at all. If the lines are identical, they intersect at infinitely many points. Therefore, the possible outcomes for the intersection of two lines are:
1. Zero points (if the lines are parallel).
2. One point (if the lines intersect).
3. Infinitely many points (if the lines are the same).
In summary, two lines can intersect at zero, one, or infinitely many points.
1. Zero points (if the lines are parallel).
2. One point (if the lines intersect).
3. Infinitely many points (if the lines are the same).
In summary, two lines can intersect at zero, one, or infinitely many points.