Answer:
(1,7)
Step-by-step explanation:
Hi there!
The center of the circle is located in the middle two diameter endpoints. To find the coordinates of the center of the circle, calculate the midpoint of the two endpoints A and B.
Midpoint: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points A(5, 10) and B(-3,4):
[tex](\frac{5+(-3)}{2} ,\frac{10+4}{2} )\\(\frac{5-3}{2} ,\frac{10+4}{2} )\\(\frac{2}{2} ,\frac{14}{2} )\\(1,7)[/tex]
Therefore, the center of the circle have coordinates of (1,7).
I hope this helps!
