Question

Use the image to answer the question.

A circle is plotted on a coordinate plane.
▶Click for Long Desc

Point S
is on the circle.

Which correctly shows that point S
lies on the circle?

(1 point)

(3−3)2+(−4−7)2=121

(0)2+(11)2=121

0+121=121


(3+3)2+(−7+4)2=45

(6)2+(−3)2=45

36+9=45


(3−3)2+(−7+4)2=9

(0)2+(−3)2=9

0+9=9


(−4−3)2+(−7+3)2=65

(−7)2+(−4)2=65

49+16=65

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Answer 1

(3 − 3)^2 + (−7 + 4)^2 = 9
(0)^2 + (−3)^2 = 9
0 + 9 = 9

This shows using center (3, −4) and point S(3, −7) that (x − 3)^2 + (y + 4)^2 = 9 is satisfied, so S lies on the circle.