Question

Need to write steps and solve
thanks

Answer 1

The coordinates of endpoint V is (7,-27)

Solution:

Given that the midpoint of line segment UV is (5,-11) And U is (3,5).

To find the coordinates of V.

The formula for mid-point of a line segment is as follows,

Midpoint of UV is
`(x_(1)+x_(2))/(2)`,
`(y_(1)+y_(2))/(2)`

As per the formula,
`(x_(1)+x_(2))/(2)`=5,
`(y_(1)+y_(2))/(2)`=-11

Here
`x_(1)=3; y_(1)=5`

Substituting the value of
`x_(1)` we get,

`(3+x_(2))/(2)`=5

`3+x_(2)=5*2`

`x_(2)=10-3`

`x_(2)=7`

Substituting the value of
`x_(2)` we get,

`(5+y_(2))/(2)`=-11

`5+y_(2)=-11*2`

`y_(2)=-22-5`

`y_(2)=-27`

So, the coordinates of V is (7,-27)