Question 1005790
The size of the radius is  5, which you can find from y=-4 to y=1 using the given point on circle and the center point for the circle.  (you could use the Distance Formula but that should not be needed here).


Standard Form {{{(x+1)^2+(y+4)^2=25}}}.


General Form:  Multiply everything and simplify.
{{{x^2+2x+1+y^2+8y+16-25=0}}}
{{{x^2+2x+y^2+8y+1+16-25=0}}}
{{{highlight(x^2+2x+y^2+8y-8=0)}}}