Point A is located at (1, 5), and point M is located at (−1, 6). If point M is the midpoint of segment AB, find the location of point B.

Question 6 options:

(−3, 7)


(0, 5.5)


(3, 4)


(0, 5)

Respuesta :

The location of point B is (0,5.5).

What is section formula?

The section formula tells us the coordinates of the point which divides a given line segment into two parts such that their lengths are in the ratio m : n.

Given: A(1,5), M(-1,6)

If M is the mid point of line AB, then

let the coordinates of B(a,b),

Using section formula,

a= 1*1+1*(-1)/(1+1)

a= 0/2

a=0

b= 1*6+1*5/2

b=11/2

b=5.5

Hence, the coordinated of B(0,5.5).

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Answer:

B. (0,5.5)

B's location is (0,5.5)