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If the midpoint of the line joining (1 - k, -4) and (2, k...

If the midpoint of the line joining (1 - k, -4) and (2, k + 1) is (-k, k), find the value of k.

A.

-4

B.

-3

C.

-2

D.

-1

Correct answer is D

Midpoint between (x1,y1) and (x2,y2) = (x1+x22,y1+y22).

(k,k)=(2+(1+k)2,4+(k+1)2)

k=k+322k=k+3

3k=3k=1