If one endpoint is (-2,9) and the mid point is (0,-1) then the other endpoint is (2,-11).
Given that one end point is (-2,9) and the mid point is (0,-1).
We are required to find out the other endpoint.
Mid point is a point which divides a line segment into two equal parts.
let the other end point be (x,y).
In this way the mid point between (x,y) and (-2,9) is {(x-2)/2,(y+9)/2}.
But we have mid point being (0,-1) so we have to equate the mid point expressions with the point given. So,
{(x-2)/2,(y+9)/2}=(0,-1)
(x-2)/2=0
x-2=0
x=2
(y+9)/2=-1
y=-2-9
y=-11
So,the other point is (2,-11).
Hence if one endpoint is (-2,9) and the mid point is (0,-1) then the other endpoint is (2,-11).
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