What is the Midpoint of the Segment Shown Below?

Understanding the Midpoint of a Line

The midpoint of a line is a point that is halfway between the two endpoints of the line. It is the point that divides the line into two equal parts. To calculate the midpoint of a line, you need to know the coordinates of both endpoints. In mathematics, the midpoint is also known as the center or the center of gravity.

Calculating the Midpoint of a Line

To calculate the midpoint of a line, you need to add the x-coordinates of the two endpoints together and divide the result by two. Then, add the y-coordinates of the two endpoints together and divide the result by two. The resulting x-coordinate and y-coordinate are the coordinates of the midpoint.

What is the Midpoint of the Segment Shown Below?

The segment shown below has two endpoints: (2, 3) and (8, 9). To calculate the midpoint of this segment, add the x-coordinates of the two endpoints together: 2 + 8 = 10. Then, divide the result by two: 10/2 = 5. The x-coordinate of the midpoint is 5.

Next, add the y-coordinates of the two endpoints together: 3 + 9 = 12. Then, divide the result by two: 12/2 = 6. The y-coordinate of the midpoint is 6. Therefore, the midpoint of the segment shown below is (5, 6).

Conclusion

The midpoint of a line is the point that divides the line into two equal parts. To calculate the midpoint of a line, you need to know the coordinates of both endpoints. To calculate the midpoint of the segment shown below, you need to add the x-coordinates of the two endpoints together and divide the result by two. Then, add the y-coordinates of the two endpoints together and divide the result by two. The resulting x-coordinate and y-coordinate are the coordinates of the midpoint, which is (5, 6).