Question

(40 POINTS!)

What is the center of the circle that has a diameter whose endpoints are (-3, -5) and (-11, -7)

A. (-8, -1)
B. (-7, -6)
C. (-4, -6)

Answer 1

Hello there!

The center of any circle is the midpoint of the diameter.
Let's use the midpoint formula to find the midpoint of the diameter.

The midpoint of a line segments with endpoints
`(x_1, y_2)` and
`(x_2, y_2)` will have a midpoint of
`( (x_1+x_2)/(2), (y_1+y_2)/(2))`

Midpoint of the diameter:


`( (-3-11)/(2), (-5-7)/(2))`


`=(-7, -6)`

Your answer is B. Hope this helps!