Answer:
(2, -7).
Step-by-step explanation:
The center is the midpoint of the diameter.
This is (5 + -1) / 2 , (-6+(-8)/2)
= (4/2, -14/2)
= (2, -7).
Answer: The center is (2,-7)
Step-by-step explanation:
In this case the center of this circle is the midpoint of its diameter. Then you need to use this formula:
[tex]Midpoint=Center=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Knowing that this circle has a diameter whose endpoints are (5, -6) and (-1, -8), you can identify that:
[tex]x_1=5\\x_2=-1\\y_1=-6\\y_2=-8[/tex]
Then you can substitute these coordinates into [tex]Center=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex], getting:
[tex]Center=(\frac{5+(-1)}{2},\frac{-6+(-8)}{2})[/tex]
[tex]Center=(\frac{5-1}{2},\frac{-6-8}{2})[/tex]
[tex]Center=(2,-7)[/tex]
