0:00
Hello.
00:01
So we know that the standard form of a circle centered at the point h comma k with radius r is, well, the quantity x minus h squared plus the quantity y minus k squared is equal to r squared.
00:13
Now the equation we're given is 9x squared plus 9 times the quantity y minus 6 squared is equal to 64.
00:21
So we don't have the coefficients on the x minus h or the y minus k equal to 1.
00:28
We have these coefficients of 9.
00:29
So let's go ahead.
00:30
Let's divide everything by 9.
00:33
If we do that, then we're just left with x squared, and then plus y minus 6 squared, is then equal to, well, 64 divided by 9.
00:46
Divide everything by 9.
00:49
But then we can notice, we can kind of write this as we have x squared.
00:54
No, x squared, could leave it as x squared, or we can write this as x minus zero squared, because we want an x minus h squared, right? we have x squared.
01:04
Well, that's in the form x minus eight square, where h is just zero...