Find the coordinates of the midpoint of the segment whose endpoints are (10, 6) and (-4, 8).

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

Answer: The coordinates of the midpoint of the segment whose endpoints are (10, 6) and (-4, 8) is (3, 7).

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

Explanation:

Let us consider that the midpoint of the line segment joining (10, 6) and (-4, 8) is (a, b).

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

a = the midpoint of the x coordinate = Average of the x coordinates = (10 - 4) / 2 = 3

b = the midpoint of the y coordinate = Average of the y coordinate = (6 + 8) / 2 = 7

Hence, the midpoint of the line segment joining (10, 6) and (-4, 8) is (a, b) that is (3, 7)