Question

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

Answer 1

Answer:

(x+1)2+(y−2)2=5

Explanation:

The general form for a circle with center  

(a,b) and radius r is XXX(x−a)2+(y−b)2=r2

With center  (−1,2) and given that  (0,0) is a solution (i.e. a point on the circle),according to the Pythagorean Theorem: XXX r 2=(−1−0)2+(2−0)2=5

and since the center is  (a,b)=(−1,2)by applying the general formula we get:XXX(x+1)+(y−2)2=5

Step-by-step explanation:

its already in the answer