Question

M(6, 6) is the midpoint of RS ,The coordinates of S are (8, 9). What are the coordinates of R?

(2.5, 4)
(4, 3)
(7, 7.5)
(10, 12)

Answer 1

\(\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
R&({\color{red}{ \square }}\quad ,&{\color{blue}{ \square }})\quad S&({\color{red}{ 8}}\quad ,&{\color{blue}{ 9}})
\end{array}\qquad
\left(\cfrac{{\color{red}{ x_2}} + {\color{red}{ x_1}}}{2}\quad ,\quad \cfrac{{\color{blue}{ y_2}} + {\color{blue}{ y_1}}}{2} \right)\implies (6\ ,\ 6)\\ \quad \\

\cfrac{{\color{red}{ x_2}} + {\color{red}{ \square }}}{2}=6\qquad \qquad \cfrac{{\color{blue}{ y_2}} + {\color{blue}{ \square }}}{2}=6\)

solve for \(\bf x_1, y_1\)

Answer 2

thank you :)

Answer 3

yw