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# What is the slope of the line that is tangent to a circle at point (5,5)...

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

Mar 29, 2020
#2
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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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thanks

Mar 29, 2020