Find the coordinates of the midpoint of the segment whose endpoints are h(6, 4) and k(2, 8).

Solution:

Midpoint refers to a point that is in the middle of the line joining two points.

The two reference points are the endpoints of a line, and the midpoint is lying in between the two points.

The midpoint divides the line joining these two points into two equal halves.

Given:

The endpoints are h(6, 4) and k(2, 8)

We can use the midpoint formula to find the coordinates

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

Substituting these values

Midpoint (x, y) = (6 + 2)/2, (4 + 8)/2

By further calculation,

Midpoint (x, y) = 8/2, 12/2

Midpoint (x, y) = 4, 6

Therefore, the coordinates are (4, 6).

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Find the coordinates of the midpoint of the segment whose endpoints are h(6, 4) and k(2, 8).

Summary:

The coordinates of the midpoint of the segment whose endpoints are h(6, 4) and k(2, 8) are (4, 6).