SOLUTION: Find an equation of the line tangent to the circle (x − 9)^2 + (y − 2)^2 = 25 at the point (12, −2)

Question 310361: Find an equation of the line tangent to the circle (x − 9)^2 + (y − 2)^2 = 25 at the point (12, −2)
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let's use implicit differentiation to find the derivative at that point.

Differentiating,

The value of the derivative equals the slope of the tangent line at that point.
So at (12,-2),

Use the point-slope form of a line,

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SOLUTION: Find an equation of the line tangent to the circle (x &#8722; 9)^2 + (y &#8722; 2)^2 = 25 at the point (12, &#8722;2)

SOLUTION: Find an equation of the line tangent to the circle (x − 9)^2 + (y − 2)^2 = 25 at the point (12, −2)