yahchiquDongty
contestada

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)

Respuesta :

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)

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

[tex]\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).[/tex]

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

[tex]\left(\dfrac{-13+(-15)}{2},\dfrac{-22+(-10)}{2}\right)\\\\\\=\left(\dfrac{-28}{2},\dfrac{32}{2}\right)\\\\\\=(-14,-16).[/tex]

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

Option (A) is CORRECT.

Otras preguntas