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 = [tex]\sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2}}[/tex]
x1 = -2 y1 = -3 x2 = 4 y2 = 5
dPM = [tex]\sqrt{(4 + 2)^{2} + (5 + 3)^{2}}[/tex]
dPM = [tex]\sqrt{(6)^{2} + (8)^{2}}[/tex]
dPM = [tex]\sqrt{36 + 64}[/tex]
dPM = [tex]\sqrt{100}[/tex]
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
