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IceJOKER [234]
3 years ago
13

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

Mathematics
1 answer:
AysviL [449]3 years ago
5 0

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})

<em>Solve for x2</em>

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

<em>Solve for y2</em>

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

therefore

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

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