Question

Find the center of the circle with a diameter that has endpoints (−10,10) and (5,−8) .

Answer 1

to find the center, we need to find the midpoint between these two points, the equation is:

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

so in this case:

$\begin{gathered} (\frac{-10+5}{2},\frac{10-8}{2}) \\ (\frac{-5}{2},1)\text{ or (-2.5,1)} \end{gathered}$

so the answer is: the center is in (-2.5,1)