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.
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:
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: