Answer:
The coordinates of the center of this circle is (-1, -3).
Step-by-step explanation:
As we know that [tex]A = (-4,2)[/tex] and [tex]B = (2,-8)[/tex] are points lying on circle T, the center is the midpoint of the segment AB, whose location can be obtained from Midpoint formula:
[tex]C = \frac{1}{2}\cdot A + \frac{1}{2}\cdot B[/tex]
[tex]C = \frac{1}{2}\cdot (-4,2)+\frac{1}{2}\cdot (2,-8)[/tex]
[tex]C = (-2, 1)+(1,-4)[/tex]
[tex]C=(-2+1,1-4)[/tex]
[tex]C=(-1,-3)[/tex]
The coordinates of the center of this circle is (-1, -3).
