Explanation:

When two distinct lines are given, there are three possibilities for their relationship: they can intersect at a single point, they can be parallel and never intersect, or they can coincide and have infinitely many intersecting points.

However, the correct answer is option 'B', which states that two distinct lines can either intersect or be parallel. This means that these lines can have two different relationships: they can intersect at a single point, or they can be parallel and never intersect.

Let's discuss each possibility in detail:

1. Intersection at a single point:
When two distinct lines intersect at a single point, they are said to be intersecting lines. In this case, the lines have a unique point of intersection. This occurs when the lines have different slopes. The slope of a line determines its steepness or inclination. If the slopes of two lines are different, they will intersect at a single point.

2. Parallel lines:
When two distinct lines have the same slope but different y-intercepts, they are said to be parallel lines. Parallel lines never intersect, no matter how far they are extended. They always maintain the same distance between them. The slopes of parallel lines are equal, but their y-intercepts are different.

3. Coinsiding or Overlapping lines:
When two distinct lines coincide or overlap, they are essentially the same line. This means that the two lines have infinitely many intersecting points because they are identical. The slopes and y-intercepts of these lines are equal.

Therefore, the correct answer is option 'B' because two distinct lines can either intersect at a single point or be parallel to each other.