Find the midpoint of the line segment with the given endpoints, A(4, 13) and B(6, -5).

We will use the concept of the mid-point formula in order to find the midpoint.

Answer: The coordinate of the midpoint of the segment whose endpoints are (4, 13) and (6, -5) is (5, 4).

Let us see how we will use the concept of the mid-point formula to find the midpoint.

Explanation:

Let us consider that the midpoint of the line segment joining (4, 13) and (6,-5) is (a, b).

According to the midpoint formula, the midpoint is calculated as the average of the coordinates.

a = the midpoint of the x coordinate = Average of the x coordinates = (4 + 6) / 2 = 5

b = the midpoint of the y coordinate = Average of the y coordinate = [13 + (- 5)] / 2 = 4

Therefore we can say that the midpoint can be calculated by (adding x-coordinates / 2) and (adding y-coordinates / 2)

Hence, the midpoint of the line segment joining the points (4, 13) and (6, -5) is (5, 4).