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What is the slope of the line that is tangent to a circle at point (5,5) if the center of the circle is (3,2)? Express your answer as a common fraction.

 Mar 29, 2020
 #1
avatar+23541 
+1

Slope from center to point     5-2  /  5-3   =  3/2      perpindicular slope  =  -1 / 3/2  = - 2/3

 Mar 29, 2020
 #2
avatar+626 
+1

Hint: The angle formed by a tangent line and the circle's radius when is a 90 degree angle

 

Using this info, can you find the slope?

Another hint: The slopes of perpendicular lines are negative reciprocals of each other.

 

Example of a negative reciprocal:

\(2\) and \(-\frac{1}{2}\) 

 Mar 29, 2020
 #3
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0

thanks

 Mar 29, 2020

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