### Instruction: The endpoints of a diameter of circle $M$ are $(-1,-4)$ and $(-7,6)$. What are the coordinates of the center of circle $M$? Express your answer as an ordered pair.### Response: So we need to find the midpoint of the line between $(-1,-4)$ and $(-7,6)$.
Right. So first we find the midpoint of the x-coordinates.
So we add $-1$ and $-7$ to get $-8$. Then we divide by 2 to get $-4$.
And then we do the same thing for the y-coordinates. We add $-4$ and $6$ to get $2$, and then divide by 2 to get $1$.