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miv72 [106K]
3 years ago
8

Given the midpoint and one endpoint of a line segment , find the other endpoint. Endpoint: (10, 12), midpoint: (6, 9)

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
3 0

The other end-point is: (2,6)

Step-by-step explanation:

Let the end-points be:

(x_1,y_1)\ and\ (x_2,y_2)

(x1,y1) = (10,12)

Mid-point = M = (6,9)

The formula for mid-point is given by:

M(x,y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Putting the values

(6,9) = (\frac{10+x_2}{2} , \frac{12+y_2}{2})

Putting respective coordinates equal

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

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

#LearnwithBrainly

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