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7. Mis the midpoint of QR and M has
coordinates (-2, 6). Q has coordinates
(8, -10). What are the coordinates of R?
nges to the original content are the responsibility of the instructor.

I need help on number 7 please

7 Mis the midpoint of QR and M has coordinates 2 6 Q has coordinates 8 10 What are the coordinates of R nges to the original content are the responsibility of t class=

Respuesta :

Answer:

R(- 12, 22 )

Step-by-step explanation:

Using the midpoint formula

[tex]\frac{1}{2}[/tex](8 + [tex]x_{R}[/tex] ) = [tex]x_{M}[/tex] = - 2

Multiply both sides by 2

8 + [tex]x_{R}[/tex] = - 4 ( subtract 8 from both sides )

[tex]x_{R}[/tex] = - 12

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[tex]\frac{1}{2}[/tex](- 10 + [tex]y_{R}[/tex] ) = [tex]y_{M}[/tex] = 6

Multiply both sides by 2

- 10 + [tex]y_{R}[/tex] = 12 ( add 10 to both sides )

[tex]y_{R}[/tex] = 22

The coordinates of R = (- 12, 22 )

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