Question

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

Answer 1

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

$s(\frac{x1+x2}{2},\frac{y1+y2}{2}_{})$

we have

S(2,-1)

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

(x2,y2)=T

substitute the given values in the formula

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

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)