SOLUTION: Find a point-slope equation for the line tangent to the circle at (4,9), whose center is (2,0)

Question 572423: Find a point-slope equation for the line tangent to the circle at (4,9), whose center is (2,0)
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
The slope of the radius connecting those two points is

.

Since the line tangent to the circle is perpendicular to this radius, the slope of the tangent line will be -1/m, or -2/9. We know that (4,9) is on the desired line so we can write in point-slope form:

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