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M(5, 7) is the midpoint of rs The coordinates of S are (6, 9). What are the coordinates of R?
(5.5, 8)


(7, 11)


(10, 14)


(4, 5)

Respuesta :

the correct answer is D (4,5)
[tex]\text{Let the coordinates of R be (x, y)}[/tex]

[tex]x_M = \frac{x_R + x_S}{2}[/tex]
[tex]5 = \frac{x + 6}{2}[/tex]
[tex]10 = x + 6[/tex]
[tex]x = 4[/tex]

[tex]y_M = \frac{y_R + y_S}{2}[/tex]
[tex]7 = \frac{y + 9}{2}[/tex]
[tex]14 = y + 9[/tex]
[tex]y = 5[/tex]

[tex]\therefore R(4, 5)[/tex]

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