find slope
y2-y1/x2-x1 -> -2-6/9+7 -> -8/16 -> -1/2 -> perpendicular slope is a negative reciprocal so -> 2
get midpoint
(x2+x1)/2,(y2+y1)/2 -> (9-7)/2, (-2+6)/2 -> 2/2, 4/2 -> 1,2
point slope equation
y-y1 = m (x-x1)
y-2=2(x-1) = answer is the 4th one or D
