Use the information provided to write the equation of the circle center: (10,-9) point on circle: (12,-13)

(x - 10)² + (y + 9)² = 20

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

The radius is the distance from the centre to a point on the circle

To calculate r use the distance formula

r = √(x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (10, - 9) and (x₂, y₂ ) = (12, - 13)

r =

  = = , hence

(x - 10)² + (y - (- 9))² = ()², that is

(x - 10)² + (y + 9)² = 20