Question

M is the midpoint of rs r has coordinates (-2,10) and m has coordinates (3,5) what are the coordinates of s

Answer 1

Since, the coordinates of the midpoint of line RS are M
`(3, 5)`.

The coordinates of endpoint R are (-2,10)

We have to determine the coordinates of endpoint S.

The midpoint of the line segment joining the points
`(x_1, y_1)` and
`(x_2, y_2)` is given by the formula
`((x_1+x_2)/(2),(y_1+y_2)/(2))`.

Here, The endpoint R is (-2,10) So,
`x_1 = -2 , y_1=10`

Let the endpoint S be
`(x_2,y_2)`

The midpoint coordinate M is
`(3, 5)`.

So,
`3 = (-2+x_2)/(2)`

`{6} = {-2+x_2}`

`{x_2}=8`

Now,
`5 = (10+y_2)/(2)`

`10 = {10+y_2}`

`0= y_2`

So, the other endpoint S is (8,0).