Question

Segment AB is the diameter of circle M. The coordinates of A are (1,6). The coordinates of M are (-3, 8). What are the coordinates of B

1) (-7,10)
2) (5,4)
3) (-1,7)
4) (-2,1)

Answer 1

Explanation:

Let the midpoint formula be expressed as;

M(X,Y) = {x2+x1/2, y2+y1/2}

X = x2+x1/2

Y = y2+y1/2

Get x2

-3 = x2 + 1/2

-6 = x2 + 1

x2 = -6-1

x2 = -7

Get y2;

Y = y2+y1/2

8 = y2+6/2

16 = y2+6

Y2 = 16-6

y2 = 10

hence the coordinate of B is (-7, 10). Option A is correct