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:

`((x_1+x_2)/(2),(y_1+y_2)/(2))`

so in this case:

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

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