Question

How do you find the coordinates of the other endpoint of a segment with the given A(-1,4) and midpoint M(3,-2)?

Answer 1

Coordinates of the other end point is `(7,-8)`

Explanation:

Look at the diagram also

Given -
A`(-1,4)`
M`(3,-2)`

To find the mid point you have to use the formula

`(x,y)=(x_1+x_2)/2, (y_1+y_2)/2`

`x=3`
`y=-2`
`x_1=-1`
`y_1=4`

We have to find -

`x_2=?`
`y_2=?`

Plug in the values in the above formula

`(3,2)=(-1+x_2)/2, (4+y_2)/2`

Then -

`(-1+x_2)/2=3`
`-1+x_2=3xx2=6`
`x_2=6+1=7`
`x_2=7`

`(4+y_2)/2=-2`
`4+y_2=-2xx2=-4`
`y_2=-4-4=-8`
`y_2=-8`

Coordinates of the other end point is `(7,-8)`