Answer:
A - (x + 1)^2 + (y + 3)^2 = 40
Step-by-step explanation:
We've been given the point to be (-7, -5) and
Center to be ( -1, -3)
We are not given the radius
ie r
Let's find r
Using the formula
( x - h) ^2 + ( y - k) ^2 = r^2
Center = ( -1, -3)
Insert the value into the above equation
h = -1
k = -3
(x - -1)^2 + (y - -3)^2 = r^2
(x + 1)^2 + (y + 3)^2 = r^2
Since there is no radius, to find radius, using the point
(-7, -5)
x = -7
y = -5
Inserting these values into the equation
( -7 + 1)^2 + (-5 + 3)^2 = r^2
= -6^2 + (-2)^2 = r^2
36 + 4= r^2
40 = r^2
Therefore, since r^2 = 40
So the equation of the circle = 40 = (x + 1)^2 + (y + 3)^2
