Question

The midpoint of RS is M(1, 2). One endpoint is R(-6, 6). Find the coordinates of endpoint S.

Answer 1

The coordinates of point S are (8,-2)

Explanation:

we know that

The formula to calculate the midpoint between two points is equal to

`M=((x1+x2)/(2),(y1+y2)/(2))`

Let

Point S(x2,y2)

substitute the given values

`(1,2)=((-6+x2)/(2),(6+y2)/(2))`

Solve for x2

`1=(-6+x2)/2\\2=-6+x2\\x2=2+6=8`

Solve for y2

`2=(6+y2)/2\\4=6+y2\\y2=4-6=-2`

therefore

The coordinates of point S are (8,-2)