The coordinates of R are (6,9)
Step-by-step explanation:
Given
S(6,7) = (x2,y2)
R = (x1,y1)
M = (6,8)
The formula for mid-point is:
[tex]M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})[/tex]
Putting values
[tex](6,8) = (\frac{x_1+6}{2} , \frac{x_2+7}{2})[/tex]
Putting respective coordinates equal
[tex]6 = \frac{x_1+6}{2}\\6*2 = x_1+6\\12 = x_1+6\\x_1 = 12-6\\x_1 =6\\AND\\8 = \frac{y_1+7}{2}\\8*2 = y_1+7\\16 = y_1+7\\16-7 = y_1\\y_1 = 9[/tex]
Hence,
The coordinates of R are (6,9)
Keywords: Coordinate geometry
Learn more about coordinate geometry at:
- brainly.com/question/10901103
- brainly.com/question/5069437
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