Answer:
[tex](x+4)^2 + (y-3)^2 = 25[/tex]
Step-by-step explanation:
You can use the center of a circle to write an equation in vertex form. Vertex form is [tex](x-h)^2+(y-k)^2 = r^2[/tex] and the vertex is (h,k). Notice (h,k) are the opposite sign in the equation then as the point.
Here h = -4 and k = 3. Substitute these values and the value r = 5.
[tex](x--4)^2 + (y-3)^2 = 5^2\\(x+4)^2 + (y-3)^2 = 25[/tex]
