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Find the missing endpoint if S is the midpoint RT. R(-9, 4) and S(2, -1); Find T.

User Tomos Williams
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1 Answer

20 votes
20 votes

Find the missing endpoint if S is the midpoint RT. R(-9, 4) and S(2, -1); Find T.

we know that

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


s((x1+x2)/(2),(y1+y2)/(2)_{})

we have

S(2,-1)

(x1,y1)=R(-9,4)

(x2,y2)=T

substitute the given values in the formula


s(2,-1)=((-9+x2)/(2),(4+y2)/(2)_{})

Find the x2 coordinate

2=(-9+x2)/2

-9+x2=4

x2=4+9=13

Find the y2 coordinate

-1=(4+y2)/2

4+y2=-2

y2=-2-4

y2=-6

therefore

the coordinates of point T(13,-6)

User Tehleel Mir
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3.0k points