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Circle equation: x^2 +y^2 +6x -10y = 0

Completing the squares: (x +3)^2 +(y -5)^2 = 34

Center of circle: (-3, 5)

Point of contact: (0, 0)

Slope of radius: -5/3

Slope of tangent line: 3/5

Tangent line equation: y = 0.6x

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Q: What is the tangent line equation that passes through the origin touching the circle x2 plus y2 plus 6x -10y equals 0?
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