The problem is:
Find the general equation of a circumference with center at $(-4,3)$ and tanget to the $y$ axis
I know that calculating the distance between the center and any point on the circumference gives me the radios. And then the general equation is pretty straight forward.
But I'm stuck, I tried to find exactly the point were the circumference meets the $y$ axis. So the point has to be of the form $(0,y_0)$ . I tried to calculate the distance directly of this point and the center of the circumference but nothing came out of it.
The final result should be: $$x^2+y^2+8x-6y+9=0$$
I found a lot of mistakes in the book I'm using and I'm suspecting that this problem is missing something. Does anyone have any suggestions?