Y is the midpoint of XZ. X has coordinates (3, 4), and Y has coordinates (–1, 9). Find the coordinates of Z.

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,

)

Now,

)

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

or, -2 = 3+x

Therefore, x= -5.

Now, again;

Equating with their corresponding elements we get,

or, 18 = 4+y

Therefore, y = 14.

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

Hope it helps...

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step-by-step explanation: