SOLUTION: center: (2,15) point on circle: (5,15) write the equation of each circle with the given information. then write the equation of the line tangent to the circle at the given point.

Question 877742: center: (2,15)
point on circle: (5,15)
write the equation of each circle with the given information. then write the equation of the line tangent to the circle at the given point. (Hint: You will need both length and slope of the radius.)
Found 2 solutions by Fombitz, richwmiller:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Find the radius by using the distance between the center and the point.

.
.

Take the derivative to find the slope of the tangent line at any point,

At ,

The slope is infinite at that point.
is the tangent.

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
There is no such thing as an infinite slope.
This slope is undefined.
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