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Ordering Tangent Line Slopes on a Circle
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For the circle $$x^2+y^2=25$$, the slope of the tangent line is given by $$dy/dx=-x/y$$. Rank the points in the table in increasing order of the slopes of the tangent lines at those points.

Label Point
A (3, 4)
B (-4, 3)
C (-3, 4)
D (4, 3)
A

D, A, C, B

B

A, D, C, B

C

D, C, A, B

D

A, C, D, B

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