Respuesta :

Sueraiuka

Step-by-step explanation:

Hey there!!

While finding the coordinates of any point, you remember to use formula first and then equate it.

So, let's begin to work accordingly.

Here, X (3,4) is a coordinate. And Y (-1,9) is a midpoint.

Let another endpoint of line be Z(x,y).

We have,

[tex]midpoint \: of \: xz = (\frac{x1 + x2}{2} ,\frac{y1 + y2}{2} [/tex])

Now,

[tex]( - 1,9) = (\frac{3 + x}{2} ,\frac{4 + y}{2} [/tex])

As they are equal, equating with their corresponding elements we get,

[tex] - 1 = \frac{3 + x}{2} [/tex]

or, -2 = 3+x

Therefore, x= -5.

Now, again;

Equating with their corresponding elements we get,

[tex]9 = \frac{4 + y}{2} [/tex]

or, 18 = 4+y

Therefore, y = 14.

Therefore, the coordinates of Z are (-5,14).

Hope it helps...

kritika9813

Answer:Z(-5,14)

Step-by-step explanation:Here, X (3,4) is a coordinate. And Y (-1,9) is a midpoint.

Let another endpoint of line be z(x,y)

We have,

Midpoint of XZ=((x1+x2)/2,(y1+y2)/2)

that is, (-1,9)=((3+x)/2,(4+y)/2)

Equating with their corresponding elements we get,

-1=((3+x)/2

-2=3+x

∴x=-5

Now,

Equation with their corresponding elements, We get,

9=((4+y)/2)

18=4+y

∴y=14

∴The coordinates of z are (-5,14).

 

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