Final answer:
In a plane with 6 different points, we can obtain 15 line segments by joining these points.
Step-by-step explanation:
In order to determine the number of line segments that can be obtained by joining 6 different points in a plane, we need to consider that a line segment consists of two points connected by a straight line.
For a given set of n points, the total number of possible line segments is given by the formula: n(n-1)/2. Applying this formula to our scenario, we have: 6(6-1)/2 = 15 line segments.
Therefore, by joining the 6 different points in the plane, we can obtain a total of 15 line segments.