Answer:
The answer to your question is (x - 4)² + (y - 5)² = 100
Step-by-step explanation:
Data
Point = (-2, -3)
Midpoint = (4, 5)
Process
1.- Find the length of the radius using the formula of the distance between two points.
dPM = 
x1 = -2 y1 = -3 x2 = 4 y2 = 5
dPM = 
dPM = 
dPM = 
dPM = 
dPM = 10
2.- Find the equation of the line
(x - h)² + (y - k)² = r²
h = 4
k = 5
r = 10
(x - 4)² + (y - 5)² = 10²
(x - 4)² + (y - 5)² = 100
For this case we must solve the following equation:

We remove the parentheses on the right side:

We add similar terms on the right side:

We subtract
from both sides of the equation:

We add 9 to both sides of the equation:

We divide by 8 on both sides of the equation:

We apply square root to both sides of the equation:

We have two roots:

Answer:

Answer:
You have the right answer
Step-by-step explanation