SOLUTION: An equation of the line tangent to the graph of 25=x^2+y^2 at the point (3,4) is

Question 767039: An equation of the line tangent to the graph of 25=x^2+y^2 at the point (3,4) is
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
Q:
An equation of the line tangent to the graph of at the point (3,4) is
----------------------------------------------------------------------------
A:
Let be the slope of the line joining the center of the circle and the point of tangency.
= =
The slope of the tangent line is equal to = .
The equation of the tangent line is .
ANSWER: .
Here's the graph of the tangent line and the circle:

RELATED QUESTIONS
What is an equation of the line tangent to the graph of x^2+y^2=25 at the point (3,4)? (answered by richwmiller)

Find an equation of the tangent line to the following graph at the given point... (answered by robertb)

Find an equation of the tangent line to the graph of f(x)=(x^3+1)/(x^2+x+1) at the point (answered by richard1234)

Find an equation of the tangent line to the graph of f(x)=(x^3+1)/(x^2+x+1) at the... (answered by Fombitz)

use implicit differentiation to find an equation of the tangent line to the graph of... (answered by Alan3354)

Find an equation of the tangent line to the graph of the equation at the given point. x^2 (answered by Alan3354)

Find the slope of the tangent line to the graph of the function at the given point. f(x) (answered by math_helper)

Find an equation of the line tangent to the circle (x − 9)^2 + (y − 2)^2 = 25 (answered by Fombitz)

Determine the equation of a tangent line to the given circle at the given point: (x+4)^2... (answered by ikleyn)