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¯XY is a line segments with the coordinates X ...

¯XY is a line segments with the coordinates X (- 8,- 12) and Y(p,q). if the midpoint of ¯XY  is (-4,-2) find the coordinates of Y.

A.

(-6,-2)

B.

(0,8)

C.

(4,10)

D.

(0,4)

Correct answer is B

The formula for midpoint = x1+x22, y1+y22

(-4,-2) = (x,y)

x = x1+x22

-4 = 8+p2

-4 * 2 = -8 + p

-8 + 8 = p

: p = 0

y = y1+y22

-2 = 12+q2

-2 * 2 = -12 + q

-4 + 12 = q

: q = 8