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

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Question 755577: 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 the distance formula:
sqrt%28%28k+-+%28-3%29%29%5E2+%2B+%280+-+4%29%5E2%29 = 6
sqrt%28%28k+%2B+3%29%5E2+%2B+16%29 = 6, square both sides
%28k+%2B+3%29%5E2+%2B+16 = 36
%28k+%2B+3%29%5E2+ = 20, get the square root of both sides
k + 3 = ±2sqrt%285%29
k = -3 ± 2sqrt%285%29
The points are (0, -3 - 2sqrt%285%29) and (0, -3 + 2sqrt%285%29).