SOLUTION: Find the line tangent to the circle with center at C(3,1) at point (6,-9). Answer: ____x -____y -____=0

Algebra ->  Linear-equations -> SOLUTION: Find the line tangent to the circle with center at C(3,1) at point (6,-9). Answer: ____x -____y -____=0      Log On


   

Question 1120563: Find the line tangent to the circle with center at C(3,1) at point (6,-9).
Answer: ____x -____y -____=0
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Slope for pair of points (3,1) and (6,-9):
%281-%28-9%29%29%2F%283-6%29

10%2F%28-3%29

-10%2F3

Slope for the needed tangent line at point (6,-9):
3%2F10.

Equation for the tangent line:
y%2B9=%283%2F10%29%28x-6%29
10y%2B90=3%28x-6%29

10y%2B90=3x-18
3x-10y-18-90=0

3x-10y-108=0