Question

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

Answer 1

Answer:

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

Step-by-step explanation:

we know that

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

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

Let

Point S(x2,y2)

substitute the given values

$(1,2)=(\frac{-6+x2}{2},\frac{6+y2}{2})$

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)