A line is tangent to a circle at the point (2, 5). A parallel line is tangent to the circle at (9, 12). What is the common slope of the two lines? Express your answer as a common fraction.

Guest Nov 28, 2020

#1**+1 **

To be parallel and tangent, the lines must be on opposite sides of the diameter.

they will be perpindicular to that diameter line which has slope (5-12) /(2-9) =1

the perpindicular slope to this diameter is the slope of the tw lines = - 1/1 = -1

Here is a picture:

Guest Nov 28, 2020

edited by
Guest
Nov 28, 2020

#1**+1 **

Best Answer

To be parallel and tangent, the lines must be on opposite sides of the diameter.

they will be perpindicular to that diameter line which has slope (5-12) /(2-9) =1

the perpindicular slope to this diameter is the slope of the tw lines = - 1/1 = -1

Here is a picture:

Guest Nov 28, 2020

edited by
Guest
Nov 28, 2020