SOLUTION: A circle defined by the equation (x-6)^2 + (y-9)^2=34 is tangent to a line at the point (9,4).what is the equation of the line?

Question 1002064: A circle defined by the equation (x-6)^2 + (y-9)^2=34 is tangent to a line at the point (9,4).what is the equation of the line?
Answer by josgarithmetic(39613) (Show Source): You can put this solution on YOUR website!
Make a plan for how to find the equation of the tangent line.

Center of the circle read from the circle's equation is (6,9).
A point ON the circle is (9,4) and is also the given point of tangency.

A POSSIBLE PLAN:
Find slope of points (6,9) and (9,4).
Find negative reciprocal of that slope, and call it m.
Express the equation of the line, using POINT-SLOPE form, for the line with slope m and containing the point (9,4).
Simplify this equation and adjust into the form desired.
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