Question

A circle is drawn on a coordinate plane with the center point at (−1,3)
and a radius of 5. Derive the equation of the circle in standard form, using the given information and the Pythagorean Theorem.(1 point)
Responses

(x+3)2+(y−1)2=25
left parenthesis x plus 3 right parenthesis squared plus left parenthesis y minus 1 right parenthesis squared equals 25

(x+1)2+(y−3)2=25
left parenthesis x plus 1 right parenthesis squared plus left parenthesis y minus 3 right parenthesis squared equals 25

(x−3)2+(y−1)2=25
left parenthesis x minus 3 right parenthesis squared plus left parenthesis y minus 1 right parenthesis squared equals 25

(x−1)2+(y−3)2=25

Answer 1

(x+1)^2 + (y−3)^2 = 25

Derivation: distance^2 = (x − (−1))^2 + (y − 3)^2 = 5^2, so (x+1)^2 + (y−3)^2 = 25.