Answer:
(x - 3)² + (y - 5)² = 26
Step-by-step explanation:
Centre: midpoint of the diameter
Centre: (-2+8)/2 , (6+4)/2
Centre: (3,5)
Radius = ½ |diameter|
|diameter| = sqrt[(-2-8)² + (6-4)²]
= sqrt(10² + 2²)
= sqrt(104)
= 2sqrt(26)
Radius = sqrt(26)
Equation:
(x - h)² + (y - k)² = r²
(x - 3)² + (y - 5)² = 26
