The other end-point is: (2,6)
Step-by-step explanation:
Let the end-points be:
[tex](x_1,y_1)\ and\ (x_2,y_2)[/tex]
(x1,y1) = (10,12)
Mid-point = M = (6,9)
The formula for mid-point is given by:
[tex]M(x,y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
Putting the values
[tex](6,9) = (\frac{10+x_2}{2} , \frac{12+y_2}{2})[/tex]
Putting respective coordinates equal
[tex]6 = \frac{10+x_2}{2}\\6*2 = 10+x_2\\12 = 10+x_2\\x_2 = 12-10\\x_2 = 2\\9 = \frac{12+y_2}{2}\\9*2 = 12+y_2\\18 = 12+y_2\\y_2 = 18-12\\y_2 = 6[/tex]
The other end-point is: (2,6)
Keywords: Coordinate geometry, intercepts
Learn more about coordinate geometry at:
- brainly.com/question/833559
- brainly.com/question/8054589
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