Question

Find the midpoint of the line segment with the given endpoints
(10,2) and (8,4)

Answer 1

Take the average of their x and y values: avg(10,8)=9; avg(2,4)=3
(9,3)

Answer 2

The midpoint of the line segment is (9,3).

Explanation:

To find the midpoint of a line segment, we use the midpoint formula, ( (x1 + x2)/2, (y1+y2)/2). This means that to find the midpoint, we must add together both of the x-values of the endpoints and divide by 2 and do the same with the y values, basically finding the average of the two endpoints, or the middle.

x1 + x2 = 10 + 8 = 18

18/2 = 9

y1 + y2 = 2 + 4 = 6

6/2 = 3

Therefore, the midpoint of the line segment is (9,3).

Hope this helps!