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

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

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 = (1)/(2)\cdot A + (1)/(2)\cdot B`

`C = (1)/(2)\cdot (-4,2)+(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).