A circle 2

A circle is centered at the point (-7, -1) and passes through the point (8, 7). The radius of the circle is r units. The point (-15, y) lies in this circle. What are r and y (or y1, y2)?

Correct answer:

r =  17
y1 =  14
y2 =  -16

Step-by-step explanation:

S=(7,1) A=(8,7)  r2 = SA2 r=(SxAx)2+(SyAy)2=((7)8)2+((1)7)2=17
x=15  r2 = (Sxx)2 + (Syy)2  y1=Sy+r2(Sxx)2=(1)+172((7)(15))2=14
y2=Syr2(Sxx)2=(1)172((7)(15))2=16   Verifying Solution:   r1=(Sxx)2+(Syy1)2=((7)(15))2+((1)14)2=17 r2=(Sxx)2+(Syy2)2=((7)(15))2+((1)(16))2=17

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