Final answer:
The midpoint of the line segment joining the points (2,-3) and (6,1) is (4, -1).
Step-by-step explanation:
To find the midpoint of the line segment joining the points (2,-3) and (6,1), you can use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the two points, and the y-coordinate of the midpoint is the average of the y-coordinates of the two points.
So, to find the x-coordinate of the midpoint, you add the x-coordinates of the two points and divide by 2. [(2 + 6) / 2 = 8 / 2 = 4]
To find the y-coordinate of the midpoint, you add the y-coordinates of the two points and divide by 2. [(-3 + 1) / 2 = -2 / 2 = -1]
Therefore, the midpoint of the line segment joining the points (2,-3) and (6,1) is (4, -1).