Verified Answer :

the coordinate of R(4,5)

Answer:

(4,5)

Step-by-step explanation:

Given that M is the midpoint of the Line RS. Where the coordinates of M, R and S are

M(5,7)

R(X,Y)

S(6,9)

Here we have to find the valuer of X and Y

We will use the mid point formula which is given below.

\(x=\frac{x_1+x_2}{2} \\y=\frac{y_1+y_2}{2}\\\)

Let put the coordinated of M and S and find coordinates of R

\(x=\frac{x_1+x_2}{2} \\5=\frac{X+6}{2} \\10=X+6\\X=4\)

\(y=\frac{y_1+y_2}{2}\\7=\frac{Y+9}{2} \\14=Y+9\\y=5\)

Hence our coordinates are

(4,5)