M(5, 7) is the midpoint of mc140-1.jpg. The coordinates of S are (6, 9). What are the coordinates of R? (4, 5) (7, 11) (5.5, 8) (10, 14)
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)