+0

tangent

0
96
1

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.

Jun 19, 2022

#1
+2448
+1

Note that 2 lines form the diameter that is perpendicular to the slope of the line.

The slope of the line is $${7 \over 7} = 1$$, meaning the slope of the line is $$\color{brown}\boxed{-1}$$

Jun 19, 2022