midpoint formula : (x1 + x2) / 2, (y1 + y2) / 2
(-6,-6)...x1 = -6 and y1 = -6
(x,y)...x2 = x and y2 = y
now we sub
(-6 + x) / 2 , (-6 + y) / 2
doing the x term first...
(-6 + x) / 2 = 1...I set it equal to 1 because that is the x in the midpoint
-6 + x = 1 * 2
-6 + x = 2
x = 2 + 6
x = 8
doing the y term
(-6 + y) / 2 = 2...I set this equal to 2 because that is the y in the midpoint
-6 + y = 2 * 2
-6 + y = 4
y = 4 + 6
y = 10
the coordinates of N are : (8,10) <==