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.

RektTheNoob  Nov 29, 2017

This line will be perpendicular to the radial line drawn from the center to (5,5)


And the slope of this radial line is   [ 5 - 2 ] / [5 - 3 ]  =  3/2


And the slope of the line perpendicular to this will   be the negative reciprocal

=  - 2/3



cool cool cool

CPhill  Nov 29, 2017

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