### Instruction: What is the product of the coordinates of the midpoint of a line segment with endpoints at $(1,1)$ and $(-7,5)$?### Response: To find the midpoint of a line segment, I need to average the corresponding coordinates of the endpoints.
That means the midpoint has coordinates $\left(\frac{1+(-7)}{2}, \frac{1+5}{2}\right)$.
Simplifying, I get $\left(-3, 3\right)$.
To find the product of these coordinates, I just need to multiply them together.
I get $(-3)(3) = -9$.