00:01
To graph our equation, 9x squared plus 4 y squared is equal to 1.
00:05
We have to start by fitting this into our standard equation for an ellipse.
00:09
What we can do is just rewrite these expressions for 9x squared and 4 y squared by making them into a fraction.
00:20
9x squared is going to be equal to just x squared over 1 9th.
00:30
This is an equivalent expression.
00:33
And now for our other value, is going to be equal to y squared over one -fourth.
00:44
Okay, this is our standard equation for our ellipse.
00:48
Find our center, we need the h and k values, and since there's no number underneath the squared symbols with the x and the y, that means that h and k are both equal to zero, so our center is at zero zero.
01:04
Found our a value, we can see that a squared is going to be equal to one -ninth.
01:08
So that means that a has to be equal to the square root of one -ninth, which is equal to one -third.
01:30
Okay...