Question

Find the midpoint of the segment formed by the points P(–13, –22) and Q(–15, –10).

A.
(–14, –16)
B.
(–17.5, –12.5)
C.
(16, 14)
D.
(28, 32)

Answer 1

Answer: The correct option is (A). (-14, -16).

Step-by-step explanation: We are given to find the mid-point of the line segment formed by the points P(–13, –22) and Q(–15, –10).

We know that

the co-ordinates of the mid-point of a line segment formed by the points A(a, b) and B(c, d) are

`\left((a+c)/(2),(b+d)/(2)\right).`

Therefore, the co-ordinates of the mid-point of line segment PQ are

`\left((-13+(-15))/(2),(-22+(-10))/(2)\right)\\\\\\=\left((-28)/(2),(32)/(2)\right)\\\\\\=(-14,-16).`

Thus, the required mid-point is (-14, -28).

Option (A) is CORRECT.

Answer 2

The best and most correct answer among the choices provided of from your question: Find the midpoint of the segment formed by the points P(–13, –22) and Q(–15, –10). is the first choice or letter A. (–14, –16). The solution for the answer is:


(x1 + x2) / 2 = (-13 + (-15)) / 2 = -14

(y1 + y2) / 2 = (-22 + (-10)) / 2 = -16

Midpoint is

A. (–14, –16)