The other endpoint is (15,-8)
Explanation:
Given that the midpoint is (4,1) and the endpoint is (-7,10)
We need to determine the other endpoint.
<u>Endpoint:</u>
Let (x,y) denote the other endpoint.
We shall determine the other endpoint using the midpoint formula.
Hence, substituting the values in the midpoint formula, we have,
Let us equate the x - coordinates to determine the value of x.
Thus, we have,
![4=\frac{7+x}{2}](https://tex.z-dn.net/?f=4%3D%5Cfrac%7B7%2Bx%7D%7B2%7D)
![8=7+x](https://tex.z-dn.net/?f=8%3D7%2Bx)
![15=x](https://tex.z-dn.net/?f=15%3Dx)
Thus, the value of x is 15.
Similarly, let us equate the y - coordinate to determine the value of y.
Thus, we have,
![1=\frac{10+y}{2}](https://tex.z-dn.net/?f=1%3D%5Cfrac%7B10%2By%7D%7B2%7D)
![2=10+y](https://tex.z-dn.net/?f=2%3D10%2By)
![-8=y](https://tex.z-dn.net/?f=-8%3Dy)
Thus, the value of y is -8
Therefore, the other endpoint is (15,-8)