Points C (x) and K (y) are marked on the coordinate line. point B is the midpoint of segment CK.

Points C (x) and K (y) are marked on the coordinate line. point B is the midpoint of segment CK. find the coordinate of point B if: a) x = 3, y = 12, b) x = -3, y = 12, c) x = -3, y = -12, d) x = 3, y = -12

To find the coordinate of the midpoint of a segment, you need to find the sum of the coordinates of the ends of the segment and divide the resulting sum in half.

We have:

a) (3 + 12): 2 = 15: 2 = 7.5, that is, point B (7.5).

b) (- 3 + 12): 2 = 9: 2 = 4.5, that is, point B (4.5).

c) (- 3 + (- 12)): 2 = – 15: 2 = – 7.5, that is, point B (- 7.5).

d) (3 + (- 12)): 2 = – 9: 2 = – 4.5, that is, point B (- 4.5).

Answer: a) B (7.5), b) B (4.5), c) B (- 7.5), d) B (- 4.5).