Question

The midpoint of RT is S(0.5, –6.25). One endpoint is T(–5.5, 2.75). What are the coordinates of R?

Answer 1

Answer:

The coordinates of R are (6.5,-15.25).

Step-by-step explanation:

We are given that

The midpoint of RT is S.

The coordinates of S are  (0.5,-6.25).

The coordinates of point T  are (-5.5,2.75).

We have to find the coordinates of R.

Mid- point formula :

$x=\frac{x_1+x_2}{2}, y=\frac{y_1+y_2}{2}$

We have $x=0.5,y=-6.25,x_2=-5.5,y_2=2.75$

Let the coordinates of R are  ($x_1,y_1$).

Using this formula ,

$0.5=\frac{x_1-5.5}{2}\implies x_1-5.5=1.0$

$x_1=1.0+5.5=6.5$

$-6.25=\frac{y_1+2.75}{2}$

$-12.50=y_1+2.75$

$y_1=-12.50-2.75=-15.25$

Hence, the coordinates of R are (6.5,-15.25).

Answer 2

(6.5, –15.25) Is the answer.