Answer:
The answer to your question is (x + 1)² + (y + 4)² = 25
Step-by-step explanation:
Data
Point = (-4, 0)
Center = (-1, -4)
Process
1.- Calculate the length of the radius
dCP = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}[/tex]
-Substitution
dCP = [tex]\sqrt{(-1 + 4)^{2} + (-4 + 0)^{2}}[/tex]
-Simplification
dCP = [tex]\sqrt{3^{2}+ 4^{2}}[/tex]
dCP = [tex]\sqrt{9 + 16}[/tex]
dCP = [tex]\sqrt{25}[/tex]
dCP = 5
2.- Substitute the values in the equation of a circle
(x - h)² + (y - k)² = r²
(x + 1)² + (y + 4)² = 5²
(x + 1)² + (y + 4)² = 25
