Question

The horizontal axis is labeled x and goes from negative 1 to 10 in intervals of 1 labeled every 5 units. The vertical axis is labeled y and goes from negative 10 to 1 in intervals of 1 labeled every 5 units. The circle has a radius of 3 units and a center at left parenthesis 3 comma negative 4 right parenthesis. Point S, on the circle’s circumference, is plotted at left parenthesis 3 comma negative 7 right parenthesis.

Point S
is on the circle.

Which correctly shows that point S
lies on the circle?

(1 point)

(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


(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

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Answer 1

The first option.
Using (x−3)^2+(y+4)^2=9 and substituting (3,−7): (3−3)^2+(−7+4)^2 = 0^2+(−3)^2 = 0+9 = 9, so S lies on the circle.