SOLUTION: Find the standard equations of the circles that have centers on the line 5x � 2y = -21 and are tangent to both coordinate axes.

Question 932999: Find the standard equations of the circles that have centers on the line 5x � 2y = -21 and are tangent to both coordinate axes.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find the standard equations of the circles that have centers on the line 5x � 2y = -21 and are tangent to both coordinate axes.
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The center has to be equidistant from the x & y axes --> |x| = |y|
For x = y:
5x � 2y = -21
y = 5x/2 + 21/2
---
y = x
x = 5x/2 + 21/2
x = -7, y = -7
The circle is
======================
For x = -y"
5x � 2y = -21
y = 5x/2 + 21/2
---
y = -x
-x = 5x/2 + 21/2
x = -3, y = 3
The circle is

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