Determine the distance between points A and B and the coordinate of the midpoint

Determine the distance between points A and B and the coordinate of the midpoint of the segment AB, if A (-5 5/6), B (1 1/6).

The coordinates of points A (-5 5/6) and B (1 1/6) are given.

Find the distance between points A and B.

d = B (1 1/6) – A (-5 5/6) = 1 1/6 – (-5 5/6) = 1 1/6 + 5 5/6 = 1 + 5 + 1/6 + 5/6 = 6 + (1 + 5) / 6 = 6 + 6/6 = 6 + 1 = 7;

d = 7.

Find the coordinate of the midpoint of the segment AB.

x0 = (-5 5/6 + 1 1/6) / 2 = (-5 – 5/6 + 1 + 1/6) / 2 = (-5 + 1 – 5/6 + 1/6) / 2 = (-4 – 4/6) / 2 = (-4 – 2/3) / 2 = (-4 2/3) / 2 = (-14/3) / 2 = -14/3: 2 = – 14/3 * 1/2 = -14 / (2 * 3) = -14/6 = -7/3 = -2 1/3;

x0 = -2 1/3.