Answer:
(26,-2)
Step-by-step explanation:
For any two points on coordinate plane (x1,y1) and ( x2,y2)
coordinate of midpoint is given by (x1+x2)/2 , (y1+y2)/2
Given
(x1,y1) = (-4,-8)
midpoint : (11,-5)
let other point be x2 and y2
therefor by using formula for midpoint coordinate given above we have
midpoint : (11,-5) = (-4+x2)/2 , (-8+y2)/2
Hence point
11 will be equivalent to (-4+x2)/2
11 = (-4+x2)/2
=> 11*2 = -4+x2
=>22 + 4 = x2
=>x2 = 26
similarly
-5 will be equal to (-8+y2)/2
-5 = (-8+y2)/2
=> -5*2 = -8+y2
=> -10 + 8 = y2
=> y2 = -2
Therefore coordinates of other point is (26,-2).