Question

Question 1 of 10 10 Points AB¯¯¯¯¯¯¯¯ is the diameter of circle T. Point A is located at (-4,2) and point B is located at (2,-8). What are the coordinates of the center of this circle?

Answer 1

Answer:

The coordinates of the center of this circle is (-1, -3).

Step-by-step explanation:

As we know that $A = (-4,2)$ and $B = (2,-8)$ are points lying on circle T, the center is the midpoint of the segment AB, whose location can be obtained from Midpoint formula:

$C = \frac{1}{2}\cdot A + \frac{1}{2}\cdot B$

$C = \frac{1}{2}\cdot (-4,2)+\frac{1}{2}\cdot (2,-8)$

$C = (-2, 1)+(1,-4)$

$C=(-2+1,1-4)$

$C=(-1,-3)$

The coordinates of the center of this circle is (-1, -3).