SOLUTION: the equation of a tangent line to the curve x^2+y^2=169 at the point (5,-12) is?

SOLUTION: the equation of a tangent line to the curve x^2+y^2=169 at the point (5,-12) is?

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Question 266674: the equation of a tangent line to the curve x^2+y^2=169 at the point (5,-12) is?
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
step 1 - we take a derivative of both sides and get

step 2 - solve for dy/dx

step 3 - put your coordinates in and get

---
so, the slope is
dy/dx = m = 5/12
---
step 4 - using slope and our coordinate as well as y = mx + b, we get

and then

solving for b, we get

---
step 5 - final equation is

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