Question

What are the coordinates of the midpoint of the segment joining points M (14, 7) and N (-8, 1)?

A) (13, 4)
B) (3, 4)
C) (6, 4)
D) (3, 6)
E) (6, 6)

Answer 1

The coordinates of the midpoint between points M (14, 7) and N (-8, 1) are calculated using the midpoint formula and the resultant coordinates are (3, 4).

Step-by-step explanation:

The question asks us to find the coordinates of the midpoint of the segment joining points M (14, 7) and N (-8, 1). To find the midpoint, we use the midpoint formula which is ((x_1 + x_2)/2, (y_1 + y_2)/2). Plugging in the coordinates of points M and N we get:

((14 + (-8))/2, (7 + 1)/2) = ((14 - 8)/2, (7 + 1)/2) = (6/2, 8/2) = (3, 4)

Therefore, the coordinates of the midpoint are (3, 4), which corresponds to option B in the multiple-choice answers provided.