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

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


   

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) About Me  (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: