Respuesta :

Answer:

You can use the midpoint formula, knowing the midpoint between two points (x1,y1) and (x2,y2) has the coordinates

  [(x1 + x2)/2, (y1 + y2)/2]

 

Substituting what we are given, we get:

 

(2 + x2)/2 = 5   and   (5 + y2)/2 = 1

 

so,

 

2 + x2 = 10    and    5 + y2 = 2

 

Solving for x2 and y2 puts the endpoint at (8,-3), which is in the 4th quadrant.  

 

You could also graph the points to get the same result.  

Step-by-step explanation:

The coordinate of the other endpoint is (7,5)

Using the mid point formula expressed as:

  • [tex]M(x, y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex]

Get the coordinate of x2

X = x1+x2/2

2 = -3+x2/2

-3 + x2 = 4

x2 = 4+3

x2 = 7

Get the coordinate of y2

Y = y1+y2/2

5 = 5+y2/2

5 + y2 = 10

y2 =10 - 5

y2 = 5

Hence the coordinate of the other endpoint is (7,5)

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