Question

the midpoint of uv is (5 -11). the coordinates of one endpoint are u(3,5). Find the coordinates of endpoint v,

Can someone please help and show the work because I just don't understand this at all

Answer 1

\[midpoint=(\frac{ x _{1}+x _{2} }{ 2 },\frac{ y _{1} +y _{2}}{2})\]

Answer 2

So\[\frac{ 3+x }{ 2}=5\]
\[3+x=10\]
x=7 and
\[\frac{ 5+y }{ 2 }=-11\]
\[5+y=-22\]
\[y=-27 \]
So the points are
\[(7,-27)\]