Question

How do I solve this?

Answer 1

The other end point is
`(-3,5)`

Explanation:

For two points
`(x_1,y_1)` and
`(x_2,y_2)`

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

For the mid point
`(x,y)=(-1,1)`

and
`(x_1,y_1)=(1,-3)`

`(x_2,y_2)=?`

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

`(1+x_2)/2=-1\\\\1+x_2=-2\\\\x_2=-2-1\\\\x_2=-3`

And

`(-3+y_2)/2=1\\\\-3+y_2=2\\\\y_2=2+3\\\\y_2=5\\`

So, the other end point is
`(-3,5)`