correct answer:
( x + 9 ) ² + ( y - 6 ) ² = 25
center = ( -9, 6 )
radius = 5
equations:
we know from the given equation that the center would be (-9, 6) because we have to plug into the equation; ( x – h ) ² + ( y – k ) ² = radius²
how to find the center coordinates:
if youre confused on how we got the -9, by using the negative addition rules:
x - (-9) we can simplify that to ( x + 9 ) like shown above so that how we got -9. It's a little easier to find the 6 because its just x - 6 so we dont have to simplify anything its just 6.
how to find the radius:
the radius is a little more difficult to find, but, since we are given 25, we can just type the square root of 25 (√25) which would be 5!
thats it!! hope this helps<3