SOLUTION: Write the equation of the tangent line. Please put your answer in the form y=mx+b. The equation of a circle and a point on the circle is given. x^2+y^2=5; (2, 1)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write the equation of the tangent line. Please put your answer in the form y=mx+b. The equation of a circle and a point on the circle is given. x^2+y^2=5; (2, 1)      Log On


   



Question 286922: Write the equation of the tangent line. Please put your answer in the form y=mx+b. The equation of a circle and a point on the circle is
given. x^2+y^2=5; (2, 1)

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
You need to find the center of the circle.
find the line from the center of the circle through the given point .
find the slope.
get the negative reciprocal (new slope ) of that (old)slope
that is find the number (new slope) whose product with slope which will get -1
then find a line through (2,1) with that (new) slope