SOLUTION: Find all points on the y-axis that are 6 units from the point (4,-3)

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Question 768012: Find all points on the y-axis that are 6 units from the point (4,-3)
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Q:
Find all points on the y-axis that are 6 units from the point (4,-3).
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A:
Let (0,k) be the point on the y-axis.
Using Distance Formula:
sqrt%28%28k%2B3%29%5E2+%2B+%280+-+4%29%5E2%29 = 6
%28k%2B3%29%5E2+%2B+16 = 36
%28k%2B3%29%5E2 = 20
k = -3%2B2sqrt%285%29 OR k = -3-2sqrt%285%29
Answer: (0, -3%2B2sqrt%285%29) AND (0, -3-2sqrt%285%29)