Question

T is the midpoint of RS .The coordinate of T is 4 3/7 .The coordinate of S is 5 2/3 . Find the coordinate of R. Please show your work. answer

Answer 1

`(3,(4)/(21)})`.

Explanation:

Let
`R=(x,y), T=(4,(3)/(7)), S=(5,(2)/(3))`. According to the midpoint formula, we have that
`4=(x+5)/(2)` and
`(3)/(7)=(y+(2)/(3))/(2)`.

We must solve these equations for x and y:

`4=(x+5)/(2)` →
`8=x+5` →
`x=3`

`(3)/(7)=(y+(2)/(3))/(2)` →
`(6)/(7)=y+(2)/(3)` →
`y=(6)/(7)-(2)/(3)` →
`y=(4)/(21)`.

Then
`R=(x,y)=(3,(4)/(21)})`.