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,
Thus, the value of x is 15.
Similarly, let us equate the y - coordinate to determine the value of y.
Thus, we have,
Thus, the value of y is -8
Therefore, the other endpoint is (15,-8)