Question

What is the center of the circle that has a diameter whose endpoints are (-3, -5) and (-11, -7)? (-8, -1) (-7, -6) (-4, -6)

Answer 1

(-7, -6)

Explanation:

Answer 2

All you have to do is use the midpoint formula.......because the center of a circle lies in the center of a diameter.

Now,
We know,

`$$Midpoint formula = ($(x_1+x_2)/(2) , (y_1+y_2)/(2)) \\\\ $Midpoint formula = ($((-3)+(-11))/(2) , ((-5)+(-7))/(2) ) \\\\ $Midpoint formula = ($(-14)/(2) , (-12)/(2)) \\\\ $Midpoint = (-7,-6)`

So,
The center of the circle is (-7 , -6)