Answer:
The correct answer is the first one listed.
Step-by-step explanation:
First you have to determine what the equation for that circle is. The standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex] where h and k are the coordinates of the center and the radius is squared. Using the given info, our equation will look like this:
[tex](x-5)^2+(y+1)^2=25[/tex]
Now we use the coordinates given and plug in 2 for x and 3 for y and do the math and see if the 2 sides are equal.
[tex](2-5)^2+(3+1)^2=25[/tex]
and 9 + 16 = 25, right? So that's how you can check the other coordinate pairs to verify that they DON'T work out!
