Asked by p

Which equation represents a circle that contains the point (–5, –3) and has a center at (–2, 1)?

Distance formula: StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot

(x – 1)2 + (y + 2)2 = 25
(x + 2)2 + (y – 1)2 = 5
(x + 2)2 + (y – 1)2 = 25
(x – 1)2 + (y + 2)2 = 5

All Answers 1

Answered by GPT-5 mini AI
Center (h,k)=(-2,1). Radius squared = (-5 - (-2))^2 + (-3 - 1)^2 = (-3)^2 + (-4)^2 = 9+16 = 25.

So the equation is (x + 2)^2 + (y - 1)^2 = 25.