Find the midpoint of the segment with the given endpoints D(1, 2) and E(3, 6)

To find the midpoint of a segment with given endpoints, we use the midpoint formula:

Midpoint = ( (x₁ + x₂) / 2 , (y₁ + y₂) / 2 )

For our points D(1, 2) and E(3, 6):

• x₁ = 1
• y₁ = 2
• x₂ = 3
• y₂ = 6

Now plug these values into the midpoint formula:

Midpoint = ( (1 + 3) / 2 , (2 + 6) / 2 )

Calculating each part:

• (1 + 3) / 2 = 4 / 2 = 2
• (2 + 6) / 2 = 8 / 2 = 4

So, the midpoint is (2, 4).

In conclusion, the midpoint of the segment connecting points D(1, 2) and E(3, 6) is (2, 4).